{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Configure plotting in Jupyter\n",
    "from matplotlib import pyplot as plt\n",
    "%matplotlib inline\n",
    "plt.rcParams.update({\n",
    "    'figure.figsize': (7.5, 7.5),\n",
    "    'axes.spines.right': False,\n",
    "    'axes.spines.left': False,\n",
    "    'axes.spines.top': False,\n",
    "    'axes.spines.bottom': False})\n",
    "# Seed random number generator\n",
    "import random\n",
    "from numpy import random as nprand\n",
    "seed = hash(\"Network Science in Python\") % 2**32\n",
    "nprand.seed(seed)\n",
    "random.seed(seed)\n",
    "# Import NetworkX\n",
    "import networkx as nx"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Strong and Weak Ties"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "G = nx.karate_club_graph()\n",
    "# Annotate with splinter club label\n",
    "member_club = [\n",
    "    0, 0, 0, 0, 0, 0, 0, 0, 1, 1,\n",
    "    0, 0, 0, 0, 1, 1, 0, 0, 1, 0,\n",
    "    1, 0, 1, 1, 1, 1, 1, 1, 1, 1,\n",
    "    1, 1, 1, 1]\n",
    "nx.set_node_attributes(G, dict(enumerate(member_club)), 'club')\n",
    "# Find internal and external edges\n",
    "internal = [(v, w) for v, w in G.edges if G.nodes[v]['club'] == G.nodes[w]['club']]\n",
    "external = [(v, w) for v, w in G.edges if G.nodes[v]['club'] != G.nodes[w]['club']]\n",
    "# Update edge attributes\n",
    "nx.set_edge_attributes(G, dict((e, 'internal') for e in internal), 'internal')\n",
    "nx.set_edge_attributes(G, dict((e, 'external') for e in external), 'internal')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def tie_strength(G, v, w):\n",
    "    # Get neighbors of nodes v and w in G\n",
    "    v_neighbors = set(G.neighbors(v))\n",
    "    w_neighbors = set(G.neighbors(w))\n",
    "    # Return size of the set intersection\n",
    "    return 1 + len(v_neighbors & w_neighbors)\n",
    "\n",
    "strength = dict(\n",
    "    ((v,w), tie_strength(G, v, w))\n",
    "    for v, w in G.edges())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def bridge_span(G):\n",
    "    # Get list of edges\n",
    "    edges = G.edges()\n",
    "    # Copy G\n",
    "    G = nx.Graph(G)\n",
    "    # Create result dict\n",
    "    result = dict()\n",
    "    for v, w in edges:\n",
    "        # Temporarily remove edge\n",
    "        G.remove_edge(v, w)\n",
    "        # Find distance with edge removed\n",
    "        try:\n",
    "            d = nx.shortest_path_length(G, v, w)\n",
    "            result[(v, w)] = d\n",
    "        except nx.NetworkXNoPath:\n",
    "            result[(v, w)] = float('inf')\n",
    "        # Restore edge\n",
    "        G.add_edge(v, w)\n",
    "    return result\n",
    "\n",
    "span = bridge_span(G)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Edge\t  Strength\tSpan\tInternal\n",
      "(0, 11)   1\t\tinf\tinternal\n",
      "(0, 31)   1\t\t3\texternal\n",
      "(1, 30)   1\t\t3\texternal\n",
      "(2, 9)    1\t\t3\texternal\n",
      "(2, 27)   1\t\t3\texternal\n",
      "(2, 28)   1\t\t3\texternal\n",
      "(9, 33)   1\t\t3\tinternal\n",
      "(13, 33)  1\t\t3\texternal\n",
      "(19, 33)  1\t\t3\texternal\n",
      "(23, 25)  1\t\t3\tinternal\n",
      "...\n",
      "(8, 32)   4\t\t2\tinternal\n",
      "(23, 33)  4\t\t2\tinternal\n",
      "(29, 33)  4\t\t2\tinternal\n",
      "(1, 2)    5\t\t2\tinternal\n",
      "(1, 3)    5\t\t2\tinternal\n",
      "(2, 3)    5\t\t2\tinternal\n",
      "(0, 2)    6\t\t2\tinternal\n",
      "(0, 3)    6\t\t2\tinternal\n",
      "(0, 1)    8\t\t2\tinternal\n",
      "(32, 33)  11\t\t2\tinternal\n"
     ]
    }
   ],
   "source": [
    "# Order edges by tie strength\n",
    "ordered_edges = sorted(strength.items(), key=lambda x: x[1])\n",
    "print('Edge\\t  Strength\\tSpan\\tInternal')\n",
    "# Print 10 strongest\n",
    "for e, edge_strength in ordered_edges[:10]:\n",
    "    print('{:10}{}\\t\\t{}\\t{}'.format(\n",
    "        str(e), edge_strength, span[e], G.edges[e]['internal']\n",
    "    ))\n",
    "print('...')\n",
    "# Print 10 weakest\n",
    "for e, edge_strength in ordered_edges[-10:]:\n",
    "    print('{:10}{}\\t\\t{}\\t{}'.format(\n",
    "        str(e), edge_strength, span[e], G.edges[e]['internal']\n",
    "    ))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Small World Problem"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAbcAAAGtCAYAAACV2joWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4wLCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvpW3flQAAIABJREFUeJzs3WdYVNf6NvB7GFCMgiIMglKkiAgI\nUowQY0BBxRY1ahIrKgoIGJOYf5Jz1OREk5OuJhQdsVc4ttiIiUpEYwsdkSbS7KCC9Daz3g++ECdD\nGWAqPL/r8kP2XnvPA4F1s/dea20OYwyEEEJIV6Km6AIIIYQQaaNwI4QQ0uVQuBFCCOlyKNwIIYR0\nORRuhBBCuhwKN0IIIV0OhRshhJAuh8KNEEJIl0PhRgghpMuhcCOEENLlqLezPa3VRQghRJE4kjSi\nKzdCCCFdDoUbIYSQLofCjRBCSJdD4UYIIaTLoXAjhBDS5VC4EUII6XIo3AghhHQ5FG6EEEK6HAo3\nQgghXQ6FGyGEkC6Hwo0QQkiXQ+FGCCGky2nvwsmEkHZ6UlGLIwn3kPmoDGU1DdDWVIe1gTbmOBtB\nt09PRZdHSJfEYaxdC/3TWwEIkVDK3VKEXcxBbHYxAKC2Qdi0T1NdDQyAx1AeAt0t4WDcT0FVEqJy\nJHorAIUbITKw/3o+vorORE2DAK39inE4gKY6F2smW2OB62C51UeICpMo3Oi2JCFS9iLYMlBdL2yz\nLWNAdb0AX0VnAAAFHCFSQgNKCJGilLul+Co6U6Jge1l1vRBfRWci9V6pjCojpHuhcCNEisIu5qCm\nQdChY2saBAi/mCPligjpnijcCJGSJxW1iM0ubvUZW2sYA/7IKsbTilrpFkZIN0ThRoiUHEm41+lz\ncAAcSez8eQjp7ijcCJGSzEdlIsP9O6KmQYjMh+VSqoiQ7ovCjRApKatpkNJ56qVyHkK6M5rnRkgH\nMMZw7949JCYmIikpCYmJiUjuNQJq5qM6fe7+z29j1qBKODo6wsnJCQYGBlKomJAugyZxEyINQqEQ\nd+7cEQmyxMREqKurw8nJqSmErpX2xrHbdRByuB3+LA01wGtADbTu3Wj6rB49esDJyUnks0xNTcHh\nSPQ7TkhXQ+FGSHvV19cjMzOzKcCSkpKQnJyM/v37iwWMoaEhamtrcfz4cfD5fGTk3cMrczdC2Im7\n/ayhDsOyDyBomQ8mT54MNTU13L17VyxYq6ur4ejo2FSLk5MThgwZAi6348FKiIqgcCOkNdXV1bh5\n82ZTaCQlJeHWrVswMTFpCo3GAOnfv7/IsXfu3MG2bduwe/du2NnZwd/fHzNmzEBwVCrOZTzu0HQA\nDgfwHKqH0cJ08Pl8PHjwAMuWLYOvry8GDRok0vbx48dISkoSqf3x48ewt7cXqd3W1hY9evTozLeJ\nEGVD4UbkR9lXvi8rK0NycrJIGOTk5GDo0KEiYeDg4IA+ffo0e476+nqcOHECfD4fKSkp8PHxwfLl\ny2FlZdXUJuVuKd6NuI7q+vZP5O6lwUWUnyvsjV4sopySkgI+n4/IyEi88cYb8Pf3x4QJE1q8Oist\nLRX7GnNzczFs2DCRr9He3h69e/dud32yoOw/N0QpUbgR2VPGle+Li4tFrmoSExPx8OFDDB8+XOQ2\nnq2tLXr2bLsDzc/PR0REBHbu3AkrKyv4+/vjrbfegqamZrPt27O2ZKNeGmpYM3lYs2tLVlRU4NCh\nQ+Dz+Xj69CmWL1+OpUuXSjTQpKqqCqmpqSKBl56ejsGDB4vcZnV0dES/fvJ7M4Ey/twQlUHhRmRL\n0SvfM8Zw//59sedR5eXlIlcqTk5OsLKygrq65OuENzQ04MyZM+Dz+fjrr7+wcOFC+Pn5YdiwYRId\nL6vvTUJCAvh8Pg4fPgwvLy/4+/tj3LhxUFOT/DlfXV0d0tPTRQIvJSUFPB5P7LnigAEDJD6vpBT9\nc0NUHoUbkR1pX520RSgUIjc3VyzI1NTUxDpkMzOzDo8kvHv3LrZv344dO3bA1NQU/v7+mDNnDnr1\n6tXuc6XeK0X4xRz8kVUMDl5M0G7UeHUydigPgR6WTbciJVVWVoYDBw6Az+ejoqICfn5+WLJkCXg8\nXrvrBACBQICcnByRgTSJiYnQ1NQU+/6amJh0+Psr758b0iVRuBHZkOZzpeY0NDQ0O2JRR0dH7IrM\n0NCw00PiBQIBzp49Cz6fjytXrmDu3Lnw9/fH8OHDO3XeRk8ranEk8R4yH5ajrKYe2poasDbUwmyn\nzj9XYozhxo0b4PP5OH78OCZNmgR/f3+4u7t3+vvCGENhYaHYHxS1tbXNjtRs6+pR1j83pNugcCOy\n4bcvvlMjAifaDMDWBS4AgJqaGrERi2lpaTA2NhbpPEeMGAFdXV2pfh0PHjzAzp07ERERAQMDA/j7\n++Odd95RmsEW7VVaWop9+/aBz+ejoaEB/v7+8PHxERvp2VmPHj0SG6lZVFQEBwcHkT8+bGxsREZq\nSvPnhnRrFG5E+p5U1GL0tzGdWkORCyFGPT6FWwk3cPv2bVhZWYkEWWsjFjtLKBTi3Llz4PP5uHjx\nIt5++234+/vD0dFRJp+nCIwxXLlyBXw+H6dPn8bUqVPh7++P0aNHy2zid0lJidhIzby8PNjY2MDR\n0RFDHVzAf2iEdr7mTkRPdTVc/WQcjaIkFG5E+rbG3sGm89mdCjc11gAP3UoEjRsKW1vbFkcdStPj\nx4+xa9cuREREoG/fvggICMDcuXOhpaUl889WpKdPn2Lv3r3YunUrNDQ04O/vj4ULF8plZGTjSM3E\nxEQcyyhDTi9rgKvR4fNpqqvhg/FW8H/DQopVEhUkUbjRwsmkXaSx8r2Qo46+JjZwdnaWabAJhUJc\nuHABb7/9NqytrZGTk4PIyEgkJCTAz8+vywcbAOjq6uKDDz5AZmYmQkNDcfXqVZiZmWHJkiW4fv06\n2vnHbbu88sorcHV1RWBgIOxen9ipYAPojQmkfejKjbTL0j1xiMks6vR5qm7fQPHRDVKoiKgC3qx1\neGVI5xeV9rTWxw6fkVKoiKgwunIj0qetKflcsdbMn/MWGGNS+ycUChEbG4t58+ahb9++8PHxwdWr\nVyEUCqX6OV3pn0AgwLlz5zB79mz069cPy5YtQ3x8vEw+a96cmVL5udHW7NzVH+k+KNxIu1gbaKOn\neud+bDTV1WBtKJ1bgs+ePcPmzZtha2uLgIAAvPrqq8jLy8Pu3bvh5uZGK+e3Qk1NDV5eXjh8+DAy\nMjJgZmaG2bNnw8XFBREREaioqJDaZynbzw3p+ijcSLvMdjaCUNi5Z24MwGwno44fzxiuXr0KHx8f\nmJubIy4uDlu3bsWtW7ewatUq6OjodKq+7sjAwAD//ve/kZOTgy+//BJnzpyBiYkJAgMDkZKS0unz\nz3bu+P/vRp39uSHdC4UbkVhtbS02f7MB1bkJ6OjjVw7nxaocHRnO/fz5c4SFhcHe3h6LFy+Gvb09\ncnJycODAAbzxxht0lSYFXC4X3t7e+OWXX3Dz5k0YGBhg2rRpcHV1xa5du1BVVdWh8+r16Ql3Kx46\n+r+ICYUwUnuOfr2kc1ucdH0UbkQi165dg6OjI27duoUfl04AGuo7dB5NdS4CPSwlbs8Yw19//QVf\nX18MHjwYly5dwk8//YSsrCysXr0aenp6HaqDtG3QoEH47LPPkJeXh7Vr1+Lo0aMwNjbGe++9h1u3\nbrX7fEEeltBU79j75jQ11FCd8Atee+01pKWldegcpHuhcCOtqqysxPvvv4+33noLX3zxBTZv3oy1\ngQvxhtYT9NJo34/PizUCrSVaQqm8vBx8Ph9OTk6YO3curKyskJWVhaioKIwbN46u0uSIy+Vi6tSp\nOH36NJKSktCvXz9MmDABr7/+Ovbv34+amhqJzuNg3A9rJlu3++eGywTg3jyFE7tC4Ovri7Fjx+KL\nL75AXV1dR74c0k1QuJEWnT9/HsOHD8fTp0+RlpYGFxcXeHh4ICgoCHs/W441k4ehlwa3zVtNHM6L\ntQElWfw2MTER/v7+MDU1xe+//45vv/0Wt2/fxieffAJ9fX3pfXGkQ0xMTLB+/Xrk5+dj9erV2L9/\nP4yNjfHhhx8iMzOzzeMXuA5u98/Nf6bbY5p1X3h5eWHGjBlISkpCXFwcXFxcEBcXJ6WvjHQ1NM+N\niCktLcXq1atx7tw5bN26FZMnT8bt27fh5eWFTz/9FCtWrGhqK42V7ysrKxEZGQk+n4/Hjx83va9s\n4MCBMv5KiTTk5uYiIiICu3btgrW1NQICAjBz5sxW35XX3p8bxhg+//xzHD16FOfPn4eBgQEOHTqE\nDz/8EAsXLsQXX3yBV155RfZfLFEGtPwWab8TJ04gKCgIb775Jr755htoa2sjIyMD48ePxxdffAFf\nX99mj+vIyvc3b94En8/HoUOH8Prrr8Pf3x8TJ05s8U3TRLnV1dU1van85s2b8PHxgZ+fHywtW37G\n2t6fmy+//BL79u1DTEwMBg0ahKKiIqxatQrx8fHYvn073N3dZfklEuUg2TOJdk7GJF3U48eP2dtv\nv80sLS3ZxYsXm7bfvHmTGRoasr1790rlc6qqqtju3buZm5sbGzRoEPv8889ZYWGhVM5NlEd2djb7\n6KOPGI/HY15eXuzw4cOsrq5OKuf+7rvvmIWFBcvPz2/aduLECTZo0CAWEBDAnj9/LpXPIUpLoryi\ncOvmhEIh27dvH9PX12cff/wxq6qqatqXlJTEDAwMWGRkZKc/Jz09na1atYrp6uqySZMmsRMnTrD6\n+vpOn5cot5qaGnbw4EHm7u7ODAwM2L/+9S+Wm5vb6fNu3ryZDR48mN25c6dpW0lJCVu2bBkzNjZm\nZ86c6fRnEKVF4UZaV1hYyCZPnsyGDx/O4uLiRPbFxcUxfX19dvTo0Q6fv6amhh04cICNGTOGGRoa\nsjVr1rC8vLxOVk1UVXp6Onv//feZrq4u8/b2ZsePH+/UHzjh4eHM2NiYZWdni2w/f/48Mzc3Z/Pn\nz2fFxcWdLZsoHwo30jyBQMC2bNnC9PT02Pr161ltba3I/qtXrzJ9fX128uTJDp0/KyuLrV69mvF4\nPDZ+/Hh25MgRqd2SIqqvqqqK7d27l7322mts4MCBbN26daygoKBD59q+fTsbNGgQS09PF9leUVHB\n3n///aY7D0KhUBqlE+VA4UbEZWdnM3d3dzZq1CiWlpYmtj82NpbxeDz266+/tuu8tbW1LCoqio0d\nO5bp6+uzTz75hOXk5EirbNJF3bx5kwUHB7P+/fuzqVOnslOnTrGGhoZ2nWPv3r3M0NCQpaamiu27\ndu0as7GxYdOnT2f379+XVtlEsSjcyN/q6+vZ999/z3R1ddnGjRub7UDOnz/PeDweO3/+vMTnvXPn\nDvvkk0/YgAED2NixY1lkZKTYlSAhbamoqGA7duxgr776KjMxMWHr169vVxhFRkayAQMGsMTERLF9\nNTU1bN26dUxPT49t376druJUH4UbeSE1NZW5uLiwcePGiTyAf9nZs2cZj8djsbGxbZ6vrq6OHT16\nlE2YMIHp6emxDz/8kGVmZkq7bNJNJSUlsYCAAKajo8NmzJjBzp49ywQCQZvHHT16lOnr67MbN240\nuz85OZk5OzszT0/PFn8PiEqgcOvuampq2Geffcb09PRYREREi3+xnjx5kvF4PHb16tVWz5efn8/W\nrFnDDA0N2ZgxY9j+/ftZdXW1LEonhJWVlTE+n8+cnJyYmZkZ++9//8sePXrU6jGnTp1iPB6PXbly\npdn99fX17Ntvv2W6urps06ZN7b4FSpQChVt3dv36dWZra8umTZvG7t2712K7xr92//rrr2b319fX\nsxMnTrDJkyczXV1d9t5777Fbt27JqmxCmhUXF8d8fX1Zv3792Jw5c9j58+dbvJprvAvx8nzNf8rK\nymJjxoxhbm5u9POseijcuqPKykr24YcfsgEDBrBDhw61+nzh0KFDzMDAgCUlJYntu3v3LvvPf/7D\njIyMmJubG9u9ezerrKyUZemEtKm0tJSFhYUxe3t7Zmlpyb777jtWVFQk1u7ChQtMT0+PnTt3rsVz\nCQQCFh4eznR1ddmGDRtoRK/qoHDrbmJiYpi5uTmbN29es7/wL9uzZw8zNDRkN2/ebNrW0NDAoqOj\n2Ztvvsl0dHRYYGAgS0lJkXXZhLSbUChk165dYz4+Pqxfv35s7ty57OLFiyJ/zF26dInxeDwWHR3d\n6rkKCgqYt7c3s7e3Z/Hx8bIunXQehVt3UVpayvz8/JiRkZFEc9Ma5wZlZGQwxhh78OAB+/LLL5mp\nqSlzcXFh27dvZxUVFbIumxCpePbsGfvpp5/YsGHDmLW1Ndu4cSN7+vQpY+zFnE0ej8dOnDjR6jmE\nQiHbu3dv0zSWl1fqIUpHoryiV96ouNOnT8POzg4AkJaWhmnTprXaPjw8HOvXr8eFCxdw9+5dzJo1\nCzY2NigsLMSxY8cQFxcHX19f9O7dWx7lE9JpOjo6TS9Q3bZtGxISEmBubo5FixZBKBTizJkzWL58\nOY4cOdLiOTgcDhYuXIjU1FTk5uZixIgRuHz5shy/CiJ1kqYgoys3pVJUVMTmzp3LLCwsWExMjETH\nbNq0iZmYmLCPP/6YmZubsxEjRrAtW7bQQrOky3ny5An78ccfmZWVFbOzs2OffPIJ09fXZwcOHJDo\n+GPHjrGBAweywMBAVlZWJuNqSTvRlVtXxBhDZGQkhg8fDkNDQ6SmpmLs2LFtHuPv749169ahtLQU\nT548waFDh5CYmIiAgABoa2vLqXpC5ENXV7fpBao///wz8vPzUV1djWXLluGzzz578UymFTNnzkRa\nWhqqq6thZ2eHs2fPyqlyIjWSpiCjKzeFu3fvHps2bRqztbVl169fb7P9kydP2A8//MB0dXVZjx49\n2IYNG1hJSYkcKiVE+Tx+/Jh9+OGHjMvlMmNjY7ZlyxaJrsp+++03ZmpqyhYtWtT0LI8oFF25dRWM\nMURERGDEiBFwcnJCYmIiRo0a1WLby5cvY8GCBbCwsMCePXugpaWF/Px8rF27Fv36Nf82bEK6On19\nffz444+4desWampqwOfzYWJiAj8/PyQkJLR43IQJE5CWloa+ffvCzs6u1Wd3RHnQm7iV3J07d7B8\n+XKUl5dj586dGD58eLPtSkpKsHfvXmzbtg1CoRB+fn7Iy8vDpUuXcO7cOfB4PDlXTojyysvLg6en\nJ3x8fKCuro6IiAjweDz4+/tj7ty5LQ6ounLlCnx9fWFra4vQ0FAYGhrKuXICCd/ETVduSkogEGDT\npk0YNWoUJk+ejGvXrokFG2MM165dw+LFi2Fubo4bN25gy5YtuHXrFgoKCnD16lXExMRQsBHyD2Zm\nZrh48SL2798PLpeLO3fuYP369Th16hSMjY0RFBSE1NRUseNGjx6N5ORkWFtbw8HBAbt3727z+R1R\nEEnvXzJ65iY3aWlpbNSoUczd3Z3dvn1bbP8/V2n4/vvvmyZtCwQCFhAQwFxdXen5GiFtuH//Phs6\ndCj74osvmiaAv7w6j6urK9u1a1ezq/MkJiayESNGsAkTJtBLeOVLoryi25Iy8KSiFkcS7iHzURnK\nahqgrakOawNtzHE2gm6fni0eV1dXh2+//RY///wzvvzySyxfvhxqan9fXMfHx2Pr1q04evQoxo8f\nD39/f4wdO7apjUAggJ+fH7KzsxEdHQ0tLS2Zf62EqLrHjx/D09MT06dPx5dffgkO58Vdr4aGBkRH\nR4PP5+PGjRuYP38+/P39YWNj03RsfX09fvjhB/z444/4/PPPERQUJPI725yO9g+kiUS3JSncpCjl\nbinCLuYgNrsYAFDbIGzap6muBgbAYygPge6WcDAWHdgRHx+PpUuXwtjYGFu3boWxsTEAoLy8HIcO\nHQKfz0dJSQn8/PywZMkSDBgwQOT4hoYGLFmyBPfv38epU6doEjYh7VBcXIzx48fDy8sL33//fVPA\nNSooKMD27duxY8cOWFhYICAgALNmzYKmpiYAIDMzE76+vuBwONixYweGDh0q9hmd6R+ICAo3edp/\nPR9fRWeipkGA1r6lHA6gqc7FmsnWWOA6GNXV1fj888+xZ88ebNy4EfPmzQOHw0FycjL4fD6ioqLg\n4eEBf39/jB8/vtm/Cuvr67FgwQKUlpbi+PHjeOWVV2T4lRLSNT179gwTJ06Em5sbfvrpJ7GAA178\nrp06dQp8Ph+JiYlYtGgR/Pz8MHToUAiFQoSFheGLL77A6tWr8dFHH0FDQwNAx/sH0iwKN3l58YOb\ngep6YduN/79eGmp4e4gGDq5fAWdnZ/z888/o3bs3oqKiwOfz8fDhQyxfvhy+vr4YOHBgi+epq6vD\nu+++i7q6Ohw5cqTpL0lCSPs9f/4c3t7esLe3x5YtW1q9xZibm4uIiAjs3LkTtra28Pf3x8yZM/Hg\nwQP4+fnhyZMn2LFjB27V6nSof1gzeRgFXPMo3OQh5W4p3o24jup6QbuPZQ21+GgEF2MdLMDn83Hw\n4EGMHj0a/v7+8Pb2BpfLbfX4mpoazJ49Gz169EBkZCR69OjR0S+DEPL/lZeXY8qUKbCwsMD27dvb\n/D2sq6vDL7/8Aj6fj7S0NCxevBjLly/Hn3/+iU+/24Le09dAgNbP0ZxeGlxE+bnC3ohuUf4DhZs8\n+O2Lx7mMx63eamgZg2ZxFirOboKvry+WLVvW9KytLVVVVZg5cyZ0dHSwb9++ptsfhJDOq6ysxJtv\nvgkDAwPs2bMH6urqEh2XnZ2Nbdu2Yc+ePXB0dATnDT9kVfQEOO2fdcXhABNtBmDrApd2H9vFUbjJ\n2pOKWoz+NkbkwXB7qXMYrnwyDgP6Sv6crLKyEtOmTYORkRF27twp8S8eIURy1dXVmDlzJrS1tXHg\nwIF2/QFZU1ODvf87jv/eegVQ6/jvZ091NVz9ZByNohRFk7hl7UjCvU6fQ53LxS8pDyVuX15eDm9v\nb5iZmWHXrl0UbITISK9evfDLL7+guroac+bMQW1trcTHampqQmj6Knp28lEBB8CRxM73M90RhVsn\nZD4q69RVGwDUNAiR+bBcoralpaWYMGEC7OzsEBER0eazAEJI52hqauLo0aNQU1PDW2+9hZqaGomP\nlXf/QERRuHVCWU2DlM5T32abZ8+ewcvLC6+++irCw8PbnChKCJGOHj16ICoqClpaWnjzzTdRVVUl\n0XHy7B+IOOohO0FbUzq3BLU1W7+XX1xcjHHjxmHcuHHYvHlzs/NvCCGyo6Ghgf3798PAwABTpkxB\nRUVFm8fIq38gzaNw6wRrA230VO/ct1BTXQ3Whi0vk/Xo0SOMHTsW06ZNw7fffkvBRoiCqKurY9eu\nXTA3N4e3tzfKyspabS+P/oG0jMKtE2Y7G3X6HAzAbKfmz3P//n14eHjgnXfewYYNGyjYCFEwLpeL\niIgI2NvbY8KECSgtLW2xraz7B9I6CrdO0OvTE+5WPHQ0czgcYOxQXrPDfAsLC+Hh4YGlS5di3bp1\nnayUECItampqCAsLg6urKzw9PfH06dNm28myfyBto3DrpCAPS2iqd2zUoqY6F4EelmLb8/Ly4O7u\njqCgIHz88cedLZEQImUcDgebNm2Cl5cXxo0bh6KiombbyaJ/IJKhcOskB+N+WDPZGpoa7ftWvlg7\nzlpsaZ3bt2/Dw8MDH3/8Md5//31plkoIkSIOh4NvvvkG06dPx9ixY/Hwofh81cb+oZeU+gciOQo3\nKVjgOhiOLBccQT3aWsSFw3mxZlxzi6JmZGRg7Nix+Oyzz7BixQrZFUwIkQoOh4P169dj7ty58PDw\nwP3798XaLHAdjDWTh6GXBrftW5RCITQ4Qlo0WQoo3KQgPj4eMdvWI3zWEAjyE6HB5UDzH6OkNNXV\n0FNdDRNtBiDKz1XsBzctLQ2enp74+uuv4evrK8fqCSGdtXbtWixbtgzu7u4oKCgQ27/AdTCi/Fwx\n0WYAeqqrifUPGmoABPVwM+2NsuPr8Zp+5yZ/E1pbstOqq6vh5OSEzz//HPX19di3bx8OHTuFI4n3\nkPmwHGU19dDW1IC1oRZmOzX/pt2kpCRMnjwZmzdvxjvvvKOAr4IQIg0//fQTNm3ahJiYGJibmzfb\n5mlFrVj/MNRACyEfzMPP3/8XycnJOHHiBP744w9ahah5kg3RYYy15x/5hw8++IC9/fbbjDHGRo4c\nyU6ePNmu4//66y+mr6/Pjh49KovyCCFytmXLFmZsbMyysrLafdz06dNZQ0MDe+ONN9gPP/wgowpV\nnkR5ReHWCTExMWzgwIHsyZMn7Pr168zMzIw1NDRIfPzVq1cZj8djp06dkmGVhBB527FjBxs0aBBL\nT0+X+Jjy8nLWv39/lpeXx3Jzc5menh67efOmDKtUWRLlFT1z66CysjIsWbIEERER0NXVRUhICIKC\ngiS+jXDp0iVMnz4d+/btw9SpU2VcLSFEnpYuXYpvvvkGnp6euHnzpkTH9OnTBz4+PggPD4eZmRm+\n/vprLFq0CHV1dTKutmuiZ24d5OvrCy6Xi23btuHRo0cYNmwYcnNzoaOj0+axFy5cwNy5c3Ho0CF4\nenrKoVpCiCJERUVh1apV+PXXX+Ho6Nhm+zt37mDUqFEoLCxEr169MG3aNDg6OmLDhg1yqFZl0DM3\nWTlx4gQzMzNjZWVljDHG1q9fz/z8/CQ69uzZs4zH47HY2FhZlkgIURJHjx5l+vr67MaNGxK1nzJl\nCtu+fTtjjLEHDx4wfX19dv36dVmWqGromZssFBUVMUNDQ3bp0iXGGGN1dXVs4MCBLDU1tc1jT548\nyXg8Hrt69aqsyySEKJFTp04xHo/Hrly50mbbs2fPMgcHByYUChljjP3vf/9jVlZWrLKyUtZlqgp6\n5iZtjDEEBARg/vz5GDNmDADg2LFjsLKywvDhw1s99tixY1i2bBnOnDkDNzc3eZRLCFESU6dOxb59\n+zBjxgzExsa22nb8+PGorq7Gn3/+CQCYM2cOXFxc8Omnn8qj1K5D0hRkdOXG9u3bx2xtbVl1dXXT\nttGjR7c5jP/QoUPMwMCAJSUlybpEQogSu3DhAtPT02Pnzp1rtd3PP//M5syZ0/Tfz549Y0ZGRuz8\n+fOyLlEV0G1JaSosLGQ8Ho98ipHAAAAgAElEQVQlJiY2bUtMTGQmJiasvr6+xeP27NnDDA0NaUgv\nIYQxxtilS5cYj8dj0dHRLbZ5/vw509HRYXfv3m3advbsWWZsbMxKSkrkUaYyo9uS0iIUCrF06VKs\nWrVKZMRTSEgIVqxYAXX15t+4u2PHDvz73/9GTEwM7Ozs5FUuIUSJjRkzBidOnICPjw9OnjzZbBtt\nbW3Mnz8fW7dubdo2ceJETJ06FatWrZJXqapN0hRk3fjKLTQ0lI0aNUrkCq24uJj169ePFRcXN3tM\nWFgYMzExYdnZ2fIqkxCiQuLi4pi+vj47fPhws/szMjKYvr6+yGOQiooKZmlpyY4dOyavMpUR3ZaU\nhqysLKarq8syMzNFtn/99dds8eLFzR6zadMmZmZmxnJzc+VRIiFERSUlJTEDAwN24MCBZvePHz+e\n7dmzR2TblStXmIGBAXv8+LE8SlRGFG6dVV9fz1xdXVlISIjYdmNjY5aQkCB2zDfffMMsLS1ZQUGB\nvMokhKiwmzdvsoEDB7Ldu3eL7Tt58iRzcXFpmhbQ6NNPP2XTp08X295N0DO3zvruu+/Qu3dvBAYG\nimw/efIkjI2N4eTkJLJ9w4YN2LVrF2JjY2FiYiLPUgkhKsrOzg4XLlzA2rVrERERIbJv8uTJePr0\nKW7cuCGy/T//+Q/y8vKwd+9eeZaqWiRNQdbNrtySkpIYj8djhYWFYvs8PDzYoUOHmv5bKBSyNWvW\nMFtbW/bo0SN5lkkI6SJu377NTExMWGhoqMj2H374gc2bN0+sfUpKCtPT02P5+fnyKlFZ0G3Jjqqp\nqWF2dnZs7969YvsabyHU1dUxxl4E2//93/8xBwcHVlRUJO9SCSFdSG5uLhs8eDDbuHFj07Znz56x\nfv36sYcPH4q1//rrr9nYsWOZQCCQZ5mKRrclO+qzzz7DkCFDsGDBArF9oaGh8Pf3h4aGBhhj+OCD\nDxATE4OYmBjweDwFVEsI6SrMzMwQGxuL8PBwfPPNNwAAHR0dvP3229i2bZtY+//7v/9DbW0tQkND\n5V2q0qO3AvzDn3/+iTlz5iA1NVUsrEpKSmBhYYH09HTo6+sjKCgIycnJ+PXXX9GvXz8FVUwI6Woe\nPHiAcePGYd68eVi3bh3S0tIwceJE5Ofno0ePHiJtc3Jy4Orqij///BPW1tYKqliuJHorAF25vaSi\nogI+Pj7YunVrs1dhu3btwuTJk8Hj8bB8+XKkpaXh999/p2AjhEjVwIEDERsbi//9739Yu3Yt7Ozs\nMHToUBw7dkysraWlJTZs2ICFCxeivr5eAdUqJ7pye0lAQABqa2uxa9cusX0CgQBWVlbYu3cvtm7d\nivv37+PUqVPo3bu3AiolhHQHxcXFGD9+PLy8vODm5oaNGzfiypUrYu0YY5g0aRJee+01fPbZZwqo\nVK4kunJrft2obujXX3/F2bNnkZKS0uL+/v374+eff0ZpaSlOnz6NV155Rc5VEkK6Ex6Ph5iYGEyc\nOBE1NTUoLCxEYmKi2DQkDoeDHTt2wNHREVOmTIGzs7OCKlYedOUG4NmzZ7C3t8e+ffswduzYZtuM\nHz8eJSUlMDAwwJEjR6CpqSnnKgkh3dXz58/h7e0NgUAAGxsb7N69u9l2Bw8exJdffomEhAT06tVL\nvkXKj0RXbhRuAObOnYsBAwZg8+bNze5PTU3FyJEj4e3tjcOHD4s90CWEEFkrLy/HhAkTkJCQgMLC\nQhgYGIi1YYzhnXfegbGxMX788UcFVCkXFG6SiIqKwn/+8x8kJiY2+5dOVVUVrK2toaWlheTkZGho\naCigSkIIASorKzFkyBDo6+sjPj6+2TeSPHnyBA4ODjh48CDc3d0VUKXM0WjJtjx48ADvvfce9u7d\n22ywVVZWwtvbG48fP8aZM2co2AghCtW7d28cOXIEWVlZmDt3brOjI/X09MDn87F48WKUlZUpoErl\n0G2v3BhjmDJlCkaOHIkvvvhCbH9ZWRmmTJmChoYGGBkZ4fDhwwqokhBCxLm5uaG+vh5GRkaIiopC\nz549xdosX74cjDFs375dARXKFF25tSYiIgKPHz/G2rVrxfaVlpZiwoQJsLOzQ0lJCd577z0FVEgI\nIc1btWoVevfuDS6Xi7feegs1NTVibTZu3IiYmBicPn1aARUqXrcMt9zcXKxZswb79u0Tu9X47Nkz\neHl5wdXVFTNmzICmpiZef/11BVVKCCHiZs2ahZycHKxZswba2tqYNm0aqqqqRNpoaWlh9+7d8PPz\nw5MnTxRUqeJ0u3ATCATw8fHBv/71L9jY2IjsKy4uxrhx4+Dp6YlNmzYhNDQUK1euBIcj0VUwIYTI\nhYaGBvz9/cHn87F//34YGhpiypQpqKioEGn3xhtvYN68eVixYgXa+QhK5XW7Z27ff/89zpw5g5iY\nGKip/Z3tjx49gpeXF2bOnIn169cjLy8Po0aNQmFhYVeeL0IIUVGPHj3CsGHDkJubC21tbfj7+yMz\nMxPR0dHQ1tZualdTUwNnZ2esWbMG8+bNU2DFUkNTAf4pLS0NY8eORVxcHAYPHty0/f79+/D09MT8\n+fOxbt06AMDq1auhrq6Ob7/9VkHVEkJI6xYsWABHR0esXr0aQqEQwcHBSExMxNmzZ0XWvE1MTIS3\ntzcSExNhZGSkwIqlgsLtZXV1dRg1ahSCg4Ph6+vbtL2wsBCenp5Yvnw5Pv74YwAvpgCYmpoiPj5e\nJAQJIUSZXL9+HfPmzcPt27fB5XKbXsN1+fJl/P7779DV1W1qu2HDBly+fBm//fabqj9qodGSL1u/\nfj2MjIywdOnSpm15eXlwd3dHUFBQU7ABwP79+/H6669TsBFClNqoUaOgq6uL6OhoAC/WmNy0aRO8\nvLwwbtw4FBUVNbX917/+hefPn2PLli2KKle+JH2rKVPhN3Ffu3aNDRgwQORNttnZ2czExISFh4eL\ntBUKhczW1padP39e3mUSQki77dmzh40fP15km1AoZOvWrWM2NjbswYMHTdszMjKYrq4uy87OlneZ\n0iRRXnX5cKusrGRDhgxhhw8fbtqWnp7OBg0axLZv3y7WPiYmhtnY2DChUCjPMgkhpENqamqYvr4+\ny8jIENu3YcMGZmVlxe7du9e07aeffmJubm6svr5enmVKk0R51eVvS37yySd49dVXMXv2bAAvBpV4\nenri66+/Fnn21igkJATBwcGqfk+aENJN9OzZE8uXL0doaKjYvrVr12LZsmVwd3dHQUEBACA4OBi9\nevXC999/L+9S5UvSFGQqeOV27tw5ZmRkxJ49e8YYYywxMZEZGBiwyMjIZtsXFBSw/v37s/LycnmW\nSQghnXL37l2mo6PDnj9/3uz+zZs3M1NTU3bnzh3G2Iu+Tk9PjyUnJ8uzTGnp3ldupaWlWLp0KXbs\n2AEdHR3ExcXB29sbYWFheOedd5o9ZsuWLVi0aBH69Okj52oJIaTjjIyM4OXlhT179jS7f9WqVfj0\n00/h4eGB7OxsmJiY4IcffsDChQtRW1sr52rlo8tOBVi0aBG0tLQQFhaGq1evYsaMGdi5cyemTp3a\nbPvq6mqYmpri6tWrsLS0lHO1hBDSOZcvX8ayZcuQkZEhskDFy3bu3Il169bh3LlzGDZsGN566y0M\nHToU33zzjZyr7RSJnhmJvwyoCzh27BiuXbuG5ORkXLp0CbNnz8a+ffswceLEFo+JjIzEyJEjKdgI\nISrp9ddfR69evXDu3LkW+7qlS5eiR48e8PLywtmzZ8Hn8+Hg4IBp06Zh9OjRcq5YtlTyyu1JRS2O\nJNxD5qMylNU0QFtTHdYG2pjjbISGylI4ODjg+PHjqKqqwty5cxEZGYlx48a1eD7GGJydnfHf//4X\n3t7ecvxKCCFEenbs2IHjx4+3+SaAqKgorFq1CtHR0SgsLMRHH32E5ORk9OnTp9X+VbeP+Kt1FKDr\nrVCScrcUYRdzEJtdDACobRA27dNUVwMD0PPZHbhpl2GmuxMWLVqEo0ePYsyYMa2e98qVK1iyZAky\nMzNbvJwnhBBlV11dDRMTE1y/fh0WFhattj1+/DgCAgJw6tQphIeHo7aPAbRGzW61f/UYykOguyUc\njPu1cFa56Frhtv96Pr6KzkRNgwCtliwUQkOdg4rLe3Hs2w/g5ubW5rnfffdduLm5YdWqVdIrmBBC\nFODjjz9GQ0MDNm7c2Gbb06dPY+nSpVj2zR4cyKiGmnrPVjt5DgfQVOdizWRrLHAdLLWa26nrhNuL\nYMtAdb2w7cb/Xw8u8NlU2zb/Bzx48AB2dnbIy8tD3759O1kpIYQoVn5+PpydnVFQUCDRyO9/74zG\ngfQacDQkv+XYS0MNayYPU1TAdY21JVPuluKr6Mx2BRsA1AmAr6IzkXqvtNV2W7duxdy5cynYCCFd\nwuDBgzFmzBjs37+/zbYpd0txPF+tXcEGANX1Qon6V0VS+nALu5iDmgZBh46taRAg/GJOi/tra2ux\nbds2BAcHd7Q8QghROitXrkRoaGibLyiVZf+qaEodbk8qahGbXdz6M7ZWMAb8kVWMpxXNT1I8fPgw\nhg8fjmHDhnWiSkIIUS7jxo0DYwx//PFHi21k3b8qmlKH25GEe50+BwfAkcTmzxMaGoqVK1d2+jMI\nIUSZcDgcBAcHN7veZCNZ96+KptThlvmoTGQ4akfUNAiR+bBcbHtcXBweP36MKVOmdOr8hBCijBYu\nXIjY2NimBZP/SZb9qzJQ6nArq2mQ0nnqxbaFhIQgKCgIXC5XKp9BCCHKpE+fPli0aFGLLyeVZf+q\nDJQ63LQ1pbM6mLamhsh/FxUV4dSpUyJv5SaEkK4mKCgIO3fuRHV1tdg+WfWvykKpw83aQBs91TtX\noqa6GqwNtUS2bdu2DXPmzEH//v07dW5CCFFmlpaWGDlyJA4dOiS2T1b9q7JQ6nCb7WzU6XMwALOd\n/j5PfX09tm7dSsP/CSHdwsqVKxESEiI2LUAW/asyUepw0+vTE+5WPHT0pdgcDjB2KE9ksc/jx4/D\nwsIC9vb2UqqSEEKU14QJE1BZWYkrV66IbJdF/6pMlDrcACDIwxKa6h0b9KGpzkWgh+grbEJCQmj4\nPyGk21BTU0NQUBBCQkLE9km7f1UmSh9uDsb9sGayNXpptK/UF2ufWcPe6O/Vq5OTk5Gfn48ZM2ZI\nu0xCCFFaixcvxu+//4779++LbJdm/6pslD7cAGCB62CsmTwMvTS4bV5CczhALw1us4t6hoSEYMWK\nFVBX75LvaCWEkGb17dsX8+bNw9atW8X2Sat/VTYq8VaARqn3ShF+MQfnbj0EGIOA8/fldOP7hsYO\n5SHQw1LsL4qnT5/C0tIS2dnZ4PF4cq6cEEIUKyMjA2PHjkVBQQF69hR/TtbYv/6RVQwOXkzQbqTO\nEYLLVW+xf5WzrvPKm3+aOnsuTNznoKe+OQ4cPob5c96CtaEWZju1/KbY7777Dunp6di9e7d8iyWE\nECUxfvx4+Pj4YMGCBS22eVpRiyOJ95D5sBwHDh+D0/BhQOl9HNiwUlkGj3TdcDMyMsKlS5dgbm4O\nDofT5srXAoEAFhYWOHr0KJydneVUJSGEKJeTJ0/iq6++wo0bNyRqz+FwcPnyZXz44Yf466+/ZFyd\nxLrG+9z+6eHDh6iuroaZmZnEx5w6dQoDBw6kYCOEdGtTpkxBUVFRu4LK0dERaWlpqKurk2Fl0qdy\n4ZaQkAAXFxdw2jE5g4b/E0IIwOVyW5wW0JLevXvDwsICaWlpMqxM+lQu3OLi4uDi4iJx+1u3biEj\nIwOzZs2SYVWEEKIali5ditOnT+Px48cSH+Pi4oL4+HgZViV9Khdu8fHx7Qq30NBQ+Pn5oUePHjKs\nihBCVEP//v0xe/ZsbNu2TeJjXFxcEBcXJ8OqpE+lBpQwxmBgYID4+HgYGxsDQKsDSkpLS2FmZob0\n9HQYGhrKs1RCCFFaqampmDRpEvLz86Gh0fKq/o39640bNxAQEICkpCQ5Vtmirjeg5O7du+BwODAy\nkmyhzl27dmHSpEkUbIQQ8hJ7e3tYWlri2LFjErV3cHBAVlZWs6/OUVYqFW6NtyQlGUwiFAoRFhZG\nA0kIIaQZjW8LkISmpiasra2RkpIi46qkRyXDTRK//vor+vXrB1dXVxlXRQghqmfGjBkoKCiQ+Faj\nqg0qUblwGzlypERtQ0NDsXLlynZNGSCEkO5CXV0dK1asQGhoqETtR44cqVLhpjIDShhj0NXVRXp6\nOgwMDJq2NzegJDs7G2PGjEFBQQE0NTXlXSohhKiE4uJiWFlZIScnB7q6umL7X+5fk5KSsHDhQmWY\n79a1BpTk5uaid+/eIsHWkrCwMCxbtoyCjRBCWsHj8TB9+nRs3769zbZ2dnbIy8tDRUWFHCrrPJUJ\nN0lvSZaXl2P//v1YsWKFHKoihBDVtnLlSoSHh6OhoaHVdhoaGhg+fLiyTAdok8qEm6Qrk+zduxfj\nxo2TeLoAIYR0Z87Ozhg0aBBOnTrVZltVGlSiMuEmyUhJxljTQBJCCCGSkXRagCqtVKIS4SYUCpGY\nmNjmqv7nz5+HhoYGxowZI6fKCCFE9c2aNQsZGRltDhahKzcpy8rKAo/Ha3Y0z8saV/+n4f+EECK5\nHj16wN/fv81pAcOGDcPDhw9RWloqp8o6TiXCTZJbkrm5ubh69Srmz58vp6oIIaTr8Pf3R1RUFEpK\nSlpsw+VyMWLECCQmJsqxso7pMuEWHh6OJUuW4JVXXpFTVYQQ0nUYGhpi0qRJ2LVrV6vtVOW5m8qE\nW2vTACorK7F7924EBgbKsSpCCOlaVq5cibCwMAgEghbbqMpKJUofbg0NDUhJSYGTk1OLbQ4ePIjR\no0fDzMxMjpURQkjX4urqCh0dHZw9e7bFNqoyqETpwy09PR1GRkbQ1tZusU3jQBJCCCEdx+Fw2pwW\nYGlpiZKSEhQXF8uxsvZT+nCTZGWShoYGeHp6yqkiQgjput555x0kJSUhKyur2f1qampwdnZGQkKC\nnCtrH6UPN0lWJgkODqbh/4QQIgWamppYtmwZwsLCWmyjCrcmlT7cWhspeffuXQDAokWL5FkSIYR0\naStWrMD+/ftb3E/h1km1tbW4desWRowY0ez+LVu2AAD69Okjz7IIIaRLMzIyavVRjypMB1DqcLt5\n8yYsLS3Ru3dvsX01NTUSvaaBEEJI+wUHBwN4sfzhPw0ePBi1tbV48OCBvMuSmFKHW2u3JCMjI9tc\na5IQQkjHvPHGGwBerNn7TxwOBy4uLko9qEQlw40xRsP/CSFEhhoH6bU0LUDZb00qfbg1Nw3g2rVr\nKCsrg7e3twKqIoSQ7uPatWvIzc0V267sK5UobbhVVVUhOzsb9vb2YvtCQ0MRFBQENTWlLZ8QQrqE\nJUuWIDw8XGx744hJxpgCqmqb0qZDSkoKhg0bhp49e4psf/jwIc6ePYslS5YoqDJCCOk+AgMDsXv3\nblRWVopsHzhwILhcbtOULGWjtOHW0i1JPp+Pd999F3379lVAVYQQ0r2YmZlh9OjROHDggMh2DoeD\nkSNHKu1zN6UNt+ZWJqmrqwOfz28aokoIIUT2Gteb/OctSGWezK204dbcSMkjR47A1tYWNjY2CqqK\nEEK6H09PTwgEAsTGxopsp3Brp/LychQUFMDW1lZkOw3/J4QQ+eNwOAgODhabFqDMg0qUMtwSExNh\nb28PDQ2Npm3x8fF4+PAhpk6dqsDKCCGke1q4cCH++OMPFBYWNm3T19eHtrY27ty5o8DKmqeU4dbc\nLcmQkBAEBgaCy+UqqCpCCOm+tLS0sHDhwqY1fRsp661JlQi3oqIinDx5Er6+vgqsihBCuregoCDs\n2LED1dXVTdso3Nrhn9MAIiIiMGvWLOjq6iqwKkII6d6srKzg7OyMyMjIpm3KOh2A084HgTJ/alhS\nUgITExOUlpaCy+Wivr4eZmZmOHPmDBwcHMTaczgcpXyYSQghqq65/jU6Ohpr165FQkICOBwOSkpK\nYGpqipKSEnk9NpLozdRKd+WWkJAAR0fHpm/SiRMnYG5u3mywEUIIkS9vb2+Ul5fj2rVrAAAdHR3o\n6+sjOztbwZWJUrpw++ctSRr+TwghykNNTQ1BQUEi0wKU8dak0oXbyyuTpKamIjc3FzNmzFBwVYQQ\nQhotWbIEv/32W9PLSpVxUInShdvLIyVDQkIQEBAgMt+NEEKIYvXt2xfvvvsu+Hw+AOUMN6UaUFJU\nVAQrKys8e/YMpaWlsLCwQFZWFvT19Vs8hgaUEEKIbLTWv6anp8PT0xMFBQWora2FoaEhSktLoa6u\nLvOyJGmkVFdujVdtampq2LFjB958881Wg40QQohi2NjYwNbWFocPH4aWlhZMTExw69YtRZfVRCnD\nTSAQIDw8nFb/J4QQJfbyepPKdmtSKcPt9OnTGDBgQLPvcyOEEKIcpk2bhkePHjUNBKRwa0HjNAAa\n/k8IIcqPy+UiMDAQISEhSjcdQOZP/lrzpKIWRxLuIfNRGYpKK6D22hLsvnEPt3IKMGfOHEWWRggh\nRAK+vr6wtLTEB//6DHmallh5MAGV9UJoa6rD2kAbc5yNoNunp9zrUshoyZS7pQi7mIPY7GIAQG2D\nsGmfGmsAh6MGL1tDBLpbwsG4X6vnotGShBAiG5L0ryl3S7Fs02E862kAgaAB4PZo2qeprgYGwGMo\nT6L+XNKyJGok73Dbfz0fX0VnoqZBgNY+msMBNNW5WDPZGgtcB7fSjsKNEEJkoa3+tak/rxe0Gg6S\n9ueSliVJI7nelnzxjchAdb2wzbaMAdX1AnwVnQEA0viGEEIIkRJl78/lNqAk5W4pvorOlOgb8bLq\neiG+is5E6r1SGVVGCCGkPVShP5dbuIVdzEFNg6BDx9Y0CBB+MUfKFRFCCOkIVejP5RJuTypqEZtd\n3OozttYwBvyRVYynFbXSLYwQQki7qEp/LpdwO5Jwr9Pn4AA4ktj58xBCCOk4VenP5RJumY/KRIb7\nd0RNgxCZD8ulVBEhhJCOUJX+XC7hVlbTIKXz1EvlPIQQQjpGVfpzuYSbtqZ0Zhxoa9J73QghRJFU\npT+XS7hZG2ijp3rnPkpTXQ3WhlpSqogQQkhHqEp/Lpdwm+1s1OlzMACznTp/HkIIIR2nKv25XMJN\nr09PuFvxwJFo0RRxHA4wdihPIYtvEkII+Zuq9Odym8Qd5GEJTXVuh47VVOci0MNSyhURQgjpCFXo\nz+UWbg7G/bBmsjV6abTvI3tpqGHNZGvYG0llNWlCCCGdpAr9uVwXTm5cLFOabwUghBAifyL9uXzf\nCiARhbzPLfVeKcIv5uCPrGJw8GJCXyMue/FNmmA3EIEelm0mPL3yhhBCZEOS/jX1XikWf3cIz3sb\nQdDQAKiLv89t7FCeRP25pGVJ1EgR4dboaUUtjiTeQ+bDchSXVSDm19MIXvgWNq58BwVZaejdu3eb\n56BwI4QQ2ZCkf33w4AFsbW0ReyMRnr7/wrygj1FRK4C2pgasDbUw20nqb+JW/nD7J1NTU1y4cAGr\nV6/GlClT4Ofn1+YxFG6EECIbkvSvn3/+OYqKijB37lx8+umnuHr1qszLkqSR3AaUSMLFxQVxcXFY\nuXIlQkJCKLQIIUSJ1dXVYdu2bQgODkZcXBxcXFwUXVITpQu3+Ph4eHp6QiAQIDY2VtElEUIIacHh\nw4dhY2MDW1tbxMfHU7i1ZOTIkYiPjweHw0FwcDBCQ0MVXRIhhJAWhIaGYuXKlQCgdOGmVM/cSkpK\nYGJigtLSUlRXV8PU1BTJyckwNjZu8Rh65kYIIbLRWv8aHx+P2bNn486dOygrK4OpqSlKSkrA5XZs\ncnd7ypKkkVJdueno6GDAgAHIyspCnz59sHDhQmzZskXRZRFCCPmHkJAQBAYGgsvlIiEhAY6OjvII\nNokpVbgBf9+aBICgoCBs374dNTU1Cq6KEEJIo6KiIpw8eRK+vr4AlO+WJKCE4dY4YhIAhgwZAhcX\nF0RGRiq4KkIIIY0iIiIwa9Ys6OrqAgDi4uIwcuRIBVclSinDrfHKDQBNCyCEECVSX1+PLVu2IDg4\nuGkbXblJwMnJCampqaivf/EK8okTJ6KsrAzXrl1TcGWEEEJ++eUXmJmZYcSIEQBe3KIsKyuDhYWF\ngisTpXThpqWlBVNTU6SnpwMA1NTUEBQUhJCQEAVXRgghJCQkpGn4PwAkJCTA2dkZnI6+4E1GlC7c\nANHnbgCwZMkS/Pbbb3jw4IECqyKEkO4tJSUFubm5mDlzZtM2ZXzeBihxuL383K1v37549913wefz\nFVgVIYR0byEhIQgICICGhkbTNmV83gYo2STuRteuXcPKlStFAi49PR2enp4oKChAjx5/v1KBJnET\nQohsvNy/Pn36FJaWlsjKyoK+vn5Tm4EDB+LatWswNTWVW1mSNFLKKzcHBwekp6ejtra2aVvj+mVH\njhxRYGWEENI97dy5E9OmTRMJtvv376OhoQEmJiYKrKx5Shlur7zyCoYMGYLU1FSR7Y3TAgghhMiP\nQCBAeHi4yEAS4O9bkso2mARQ0nADRFcqaTR16lQ8evRIbDshhBDZOX36NAYMGCA2cERZn7cBShxu\n/xwxCQBcLheBgYF09UYIIXL0z+H/jZTtHW4vU8oBJcCLvwiWLl0qdmvy2bNnsLCwaHqoSQNKCCFE\nNjgcDm7duoVx48ahsLBQZDAfYww8Hg+pqakYOHCgXMuSpJHSXrkNHz4cOTk5qKqqEtnev39/zJo1\nCxEREQqqjBBCuo/Q0FD4+fmJBBsAFBQUoGfPnvIONokpbbj17NkTtra2SEpKEtu3cuVKbNmypWmJ\nLkIIIbJx6NAhBAQEiG1X5luSgBKHGyA+mbuRg4MDzM3N8csvvyigKkII6T4mTpzY7NVZfHy8Uq5M\n0kglww2gaQGEECJLQqEQAJodSAIo90hJQMnDrbnpAI1mzJiB3NxcOVdECCHdw9mzZwEAr732mtg+\noVCIhIQECreOsrGxQcWfLDwAACAASURBVGFhIcrKysT2aWhoYMWKFQqoihBCur7Q0FAAaHaCdk5O\nDnR0dKCnpyfvsiSm1OGmrq4OBwcHJCYmNrt/+fLlAF5MDyCEECIdt2/fbnWxDGW/JQkoebgBrd+a\nbFzjbMeOHfIsiRBCurSwsDD4+vq2uJ/CTQqaW6nkn8LDwyEQCORUESGEdF0VFRXYt29fq499lH0a\nAKAi4dbWWpIGBgY4ffq0nCoihJCua+/evfDw8GhxpX+BQIDk5GQ4OzvLubL2UfpwGzp0KIqLi1t9\nrkbTAgghpPMYYwgNDW1x+D8AZGZmwtDQEP369ZNjZe2n9OGmpqYGJyenVq/eZs+ejVu3biE9PV2O\nlRFCSNdy4cIFcLlcuLu7t9hGFW5JAioQbkDbtyZ79OgBPz+/pqGrhBBC2i8kJATBwcGtvp9N2Vcm\nadQlwg0A/P39ERkZiefPn8upKkII6Try8vLw559/YsGCBa22U4WRkoCKhFtr0wEaDRw4EBMnTsSu\nXbvkVBUhhHQd4eHhWLx4MXr37t1im/r6ety8eROOjo5yrKxjVCLczM3NUV5ejsePH7fabuXKlQgL\nC2taE40QQkjbqqqqsGvXLgQFBbXaLi0tDYMHD0afPn3kVFnHqUS4cTgciW5Nurm5QVtbG7/99puc\nKiOEENV38OBBuLm5wdzcvNV2qvK8DVCRcAMkuzXJ4XBoWgAhhLQDYwwhISGtDv9vpCrP2wAVCjdJ\nVioBgHfffRcJCQm4ffu2HKoihBDVdvnyZdTW1sLLy6vNtqoyDQBQsXCLj48HY6zVdpqamvD19UVY\nWJicKiOEENXVOPxfTa31OKipqUFmZiYcHBzkVFnnqEy4GRsbgzGG+/fvt9l2xYoV2LdvHyoqKuRQ\nGSGEqKa7d+/iwoUL8PHxabNtamoqhg4dil69esmhss5TmXBrHFQiya1JY2NjeHh4YO/evXKojBBC\nVNPWrVsxf/58aGlptdlWlW5JAioUboBkk7kbrVy5EqGhoW3exiSEkO6opqYG27dvR3BwsETtVWkw\nCdCFw83d3R1cLhcXLlyQcVWEEKJ6oqKiMGLECAwdOlSi9qo0DQBQ0XCT5GqMpgUQQkjz2jP8HwAq\nKytx584d2NnZybgy6VGpcDM0NESvXr2Ql5cnUfv58+fjypUryM/Pl21hhBCiQm7cuIGSkhJMmjRJ\novZJSUmws7NDjx49ZFyZ9KhUuAHtuzXZu3dvLF68GOHh4TKuihBCVEdISAiCgoLA5XIlaq9qtyQB\nFQw3SVYqeVlgYCB27dqFqqoqGVZFCCGq4dGjR4iOjsbSpUslPkbVBpMAKhhukk4HaGRubg43Nzcc\nPHhQhlURQohq4PP5eOedd9r1Jm1VmwYAAJx2DpVX+Lj6J0+ewMLCAiUlJVBTUwOHw2lzgMm5c+fw\n0UcfITk5udWX8BFCSFdWV1eHwYMH4/fff5docAiHw0FpaSkGDRqE0tJSqKury6HKNknUiavclZue\nnh50dXXbtXakl5cXamtrcfnyZRlWRgghyu3o0aOwtrZu16jHxMREjBgxQlmCTWIqF25A+29Ncjgc\nBAcH07QAQki31riOZHuo4i1JQEXDzcZpFA4lF+P9qCTwZq3D+1FJ2Bp7B08rals8xsfHBxcuXMDd\nu3flWCkhhCiHhIQE3Lt3D2+++War7Z5U1GJr7J2m/jWqUBNVpqNb7V+VkUo9c0u5W4qwizn4I/Mx\n6uvrAa5G0z5NdTUwAB5DeQh0t4SDsfjD0vfeew9aWlr46quv5Fg1IYQo3uLFi2FtbY1PP/202f2N\n/WtsdjEAoLZB2LSvB5cDDofTav8qRxI9c1OZcNt/PR9fRWeipkGA1krmcABNdS7WTLbGAtfBIvuy\ns7MxZswYFBQUQFNTU7YFE0KIkiguLsaQIUOQk5MDPT09sf3S6F/lqOsMKHnxjc9AdX3r33gAYAyo\nrhfgq+gM7L+eL7LPysoKjo6OiIqKkl2xhBCiZCIiIvDWW2+1Emyd71+VjdJfuaXcLcW7EddRXS9o\n97G9NLiI8nOFvdHfl9BnzpzB559/jri4OJoWQAjp8hoaGmBmZoaTJ0/C0dFRZJ+0+1c56RpXbmEX\nc1DT0P5vPADUNAgQfjFHZNukSZNQWlqKGzduSKM8QghRaidOnICpqalYsAHS71+ViVKH25OKWsRm\nF7d5qdwSxoA/sopFRvmoqakhKCjo/7V373E15fv/wF/dFEOidkWlJKQJqcM4xigSyZwx7ua4R+3c\nxjRzfsYwjMs4jjEuQ9Km3C8TTaZQuaQ6mMatpmKEKBKZQje67b3fvz98dWZPt117t9vV+/l49Ie1\nPuuz3jurz3t/PuuzPosfC2CMtQjVrf7fEO2rOlHr5BZy47HCdWgACEmQrWf27NmIjIxEdna2wvUz\nxpi6Sk5Oxr179zBu3LhK+xqqfVUXap3cUrMLZKaj1keJWIrUp4Uy2wwMDDB58mSIRCKF6maMMXXm\n5+cHHx8f6OjoVNrXUO2rulDr5FZQIlZSPeWVti1YsAAikQhlZWVKOQdjjKmTFy9e4Pjx4/Dy8qpy\nf0O2r+pArZObvp5y1jLT16v8rcXe3h62trb46aeflHIOxhhTJ3v27MHo0aNhampa5f6GbF/VgVon\nN1tTfehqKxainrYmbDu1q3LfokWLeGIJY6zZkUgk2LFjR5UTSd5q6Pa1sal1cpvgZK5wHQRggmPV\n9fzjH/9AVlYWbty4ofB5GGNMXZw+fRoCgQDvvfdetWUaun1tbGqd3Iza6sK5hwD1fdZaQwMY2lMA\nw7a6Ve7X1tbG/PnzuffGGGtWqpv+/2cN3b42NrVObgCwwMUGetpa9TpWT1sL811saiwzd+5chIWF\nIScnp17nYIwxdXL79m2kpKRg0qRJtZZd4GID7XouPCVP+9qY1D659bUwwHIPW7TWqVuoVF6KjyzE\ntS4NY2hoiHHjxiEwMFCRMBljTC3s2LEDXl5e0NWtvUd141woiuMPo1UdM0FrHU0s97BtjKW35Kb2\nyQ0Apg20wnKPXmito1V7F5qk0CQxvPobYt/Xc3DixIla61+0aBF27twJsVg5U2MZY6wxFBQU4MiR\nI/Dx8am1bEBAAFatWoXogFUQPP4vtCCptX3V0HizpuRyj16N+VYAuTSJ5Aa8SXDB3gMx0s4Eutqa\n0PvLLB89bU3oamvCtacA0rOb4KT/GlFRUZg/f36tbwFwcHCApaUlwsLCGvIjMMZYg9q3bx/c3Nxg\nZmZWY7lt27bhP//5D2JiYnD58mW8SjqDY95/r7V9HWlngmDvgWqf2IAm8FaAqjwvKkVIwmOkPi1E\nQUk59PV0YNupHSY4msOwrS5iYmIwffp0JCcnIysrCyNHjsSGDRswffr0aus8duwY/P39ERsbq7oP\nwhhjSiKVSmFra4s9e/Zg8ODB1ZbbuHEjAgICcOHCBRAR+vfvjwsXLqB3794Aam9f1YB8U2CIqC4/\nTcbixYtpypQpRET0+++/k5mZGQUFBVVbvqysjDp37kxJSUmqCpExxpQmMjKSHBwcSCqVVltm7dq1\n1KNHD8rMzCSJRELOzs60YcMGFUapFHLlqyYzLFlX69evx2+//Ybg4GD06tULMTExWLVqFXbu3Fll\neR0dHfj4+MDPz0/FkTLGmOK2b9+OhQsXVvmeSiLCypUrcfToUcTGxsLc3Bw//PADxGIxvvjii0aI\nVgXkzYLUxHpuRERXr14lY2NjysrKIiKiBw8ekJWVFW3durXK8tnZ2WRgYEDPnz9XZZiMMaaQe/fu\nkZGREb1+/brSPqlUSkuWLKHevXvTs2fPiIjo1q1bZGRkRGlpaaoOVRlads8NAPr37w8fHx/MnTsX\nRISuXbsiLi4O27dvx3fffVepvImJCT788EPs2bOnEaJljLH62bFjBzw9PdG6dWuZ7UQEX19fnD9/\nHjExMTA2NkZ5eTlmzJiBb7/9Ft26dWukiBtek5xQUhfl5eUYOHAghEIhvL29AQBZWVlwdXXF1KlT\nsWLFCpnyV69exeTJk5GWlgYtrfo9PM4YY6pSVFQES0tLJCQkwNLSsmK7VCrFwoULcePGDZw5cwYG\nBm+eSVu1ahWuXLmCiIiIKocwmwC5gm7WPTfgzb20gwcPYvny5Xjw4AEAwMzMDLGxsfjxxx+xYsUK\n/DnBDxgwAMbGxoiIiGiskBljTG6HDh3CkCFDZBKbRCKBt7c3kpOTce7cuYrEdv36dezcuRNBQUFN\nNbHJrdknNwCws7PDV199hZkzZ0IikQAATE1NERsbi/DwcCxdulQmwfHbAhhjTQERwc/PT2YdSYlE\ngtmzZyMtLQ1RUVHQ19cHABQXF2P69On44Ycf0Llz58YKWWVaRHIDgM8++wxaWlrYvHlzxTaBQIAL\nFy7g/Pnz8PX1rUhwEydOREpKClJTUxsrXMYYq1VMTAwAYOjQoQDe3IaZNm0anj59ioiICLRt27ai\n7LJly9C3b19MmTKlUWJVtWZ/z+3P0tPTMWDAAMTExMDe3r5ie15eHtzd3eHo6Ag/Pz9oampi5cqV\nePHiBT8awBhTW2PHjsXIkSPh4+ODsrIyfPLJJyguLkZoaCj09PQqyr1d2CIpKQmGhoaNGLFSyDWe\n2qKSGwAEBQXBz88PV65cQatWrSq2FxQUYPTo0ejZsydEIhGePXsGe3t7ZGRkVHTrGWNMXTx8+BCO\njo54+PAhdHR0MHHiRGhqaiI4OFhm0eSCggL06dMH/v7+8PDwaMSIlYYnlFTF09MT5ubmWLNmjcx2\nfX19REZG4sGDB5g9ezaMjY0xYsQI7Nu3r3ECZYyxGvj7+2PmzJnQ0tLCmDFjoKuri+PHj1d6G8Bn\nn32GkSNHNpfEJrcW13MDgOzsbDg4OODnn3/GwIEDZfa9fv0aH3/8MTp27AgfHx94e3sjNTUVmpot\n7nsAY0xNFRcXo0uXLoiOjoavry9MTU2xf/9+aGtry5QLDw+Hr68vkpKSZO6/NXHcc6uOqakp/Pz8\nMGPGDLx+/VpmX5s2bRAeHo6ioiJs27YNrVu3xtmzZxspUsYYq+zIkSNwdHTEwoUL0aVLFxw4cKBS\nYsvJyYGPjw/27dvXnBKb3Fpkz+2tadOmoUOHDlVO+y8rK8PkyZORnp4OU1NTREVFNUKEjDEmi4jQ\np08fSCQSfPDBB9i5c2elkSUiwvjx42FjY1PlakxNHPfcarN9+3b8/PPPOH/+fKV9rVq1wrFjx2Bj\nY4MLFy7g5s2bjRAhY4zJioiIwL179zBs2DAEBARUecvk0KFDuHfvXqW5BS1Ji+65AcDZs2cxd+5c\nJCcnVzzF/2disRgODg7Iz89Hamoq3nnnnUaIkjHGgNzcXHTv3h39+vVDdHR0lauMZGZmwsnJCWfP\nnoWDg0MjRNng+FEAeS1YsACFhYU4cOBAlfsfPHiAXr164W9/+xuioqLQrl07FUfIGGvpnj17Bmdn\nZzx8+BDZ2dlo3759pTJSqRQjRozA0KFDsXz58kaIUiV4WFJe3333HeLj4xEaGlrlfmtra3h4eEBL\nSwsjRoxAXl6eiiNkjLVkT548gYuLC0xMTODp6VllYgPePB5QVFSEL7/8UsURqh9ObgDeeecd7N+/\nH/Pnz8ezZ8+qLPPpp5/i+fPn6N+/P4YPH44XL16oOErGWEuUmZkJZ2dnTJ06FXfu3JFZR/LP7t69\ni9WrV1c5c7Il4uT2fwYNGgRPT094e3ujqqFaFxcXaGpqYsyYMRg6dCiGDRuG3NzcRoiUMdZSZGRk\nwNnZGfPmzYOlpSX69OkDW1vbSuXEYjFmzJiBb775Bj169GiESNUPJ7c/+eabb5CRkYH9+/dX2qeh\noYGFCxfCz88P3333HT788EO4uLhU29NjjDFFpKWlwdnZGZ9//jk+//xzbN++vdpe24YNG9CuXTvM\nnz9fxVGqMXlf2f1/P81eUlISGRkZUUZGRqV9hYWF1LFjx4p9a9asIVtbW8rKylJ1mIyxZuz27dtk\nbm5OIpGIiIh+/fVXsrKyIrFYXKlsQkICCQQCevTokarDbCxy5Svuuf1Fnz598K9//QuzZs2CVCqV\n2de2bVvMnDkT/v7+AIAVK1Zg1qxZcHZ2RmZmZmOEyxhrZm7evIlhw4Zh7dq18Pb2BvDmmdwFCxZA\nS0tLpmxJSQlmzJiBTZs2wcLCojHCVVv8KEAVJBIJhgwZgkmTJmHx4sUy++7fv4+BAwfi0aNHaN26\nNQBgy5Yt2L59O6Kjo9G1a9fGCJkx1gwkJSXB3d0dmzZtwj//+U8Ab9bC7dWrF+7fv4+OHTvKlF+y\nZAnu37+PkJCQZv9m7T+R74PK28WjFjIs+da9e/fI0NCQfv/990r7Ro8eTYGBgTLbduzYQV26dKF7\n9+6pKkTGWDNy7do1MjY2puPHj8tsX716NXl5eVUq/9///pc6depEf/zxh6pCVBdy5StObjXYuXMn\n/e1vf6OysjKZ7VFRUdS3b1+SSqUy23fv3k1mZmZ0+/ZtVYbJGGvi4uPjSSAQ0M8//yyzvbS0lDp1\n6kTJycky2wsKCsja2prCwsJUGaa64HtuihIKhTA0NMT69etltru5uaG4uBiXL1+W2T537lz8+9//\nhqurK69FyRiTy8WLF/HRRx9h//79GDNmjMy+EydOoEePHujdu7fM9n/9619wdnbGRx99pMpQmxZ5\nsyC1wJ4bEdHjx49JIBDQtWvXZLZv27aNJk2aVOUxR48eJVNTU0pMTFRFiIyxJio6OpqMjIzo3Llz\nVe5///33KSQkRGbb6dOnydLSkvLz81URojriYUllOXLkCPXq1Ytev35dsS0/P586dOhAjx8/rvKY\nkJAQMjY2rpQUGWOM6M3tDYFAQLGxsVXuT0hIIAsLCyovL6/YlpubS507d6YLFy6oKkx1xMOSyjJl\nyhTY29vj66+/rtimr6+PqVOnIiAgoMpjxo8fj8DAQIwePRrx8fGqCpUx1gScOnUK06dPx4kTJ+Ds\n7Fxlme3bt2PevHkyS2ktWLAAkyZNwtChQ1UVatMlbxakFtxzIyLKycmhzp07U0xMTMW21NRUMjEx\noZKSkmqPi4yMJIFAQHFxcSqIkjGm7kJDQ8nY2JiuXLlSbZmcnBwyMDCgnJycim1Hjx4lW1tbmRGk\nFop7bspkZGSEXbt2Yfbs2SgoKAAA9OzZE3379sWxY8eqPc7d3R1Hjx7FhAkTEB0drapwGWNqKDg4\nGPPmzUNkZCQGDBhQbbnAwEB8/PHHMDIyAvDmrQCLFy/GwYMHK56vZbWQNwtSC++5veXl5UVz5syp\n+Hd4eDj179+/1uPi4uJIIBBQVFRUQ4bHGFNTBw8erHJa/1+Vl5eThYUFXb9+nYiIpFIpubu70zff\nfKOCKJsEnlDSEAoKCqhr164UHh5ORERisZi6du1Kv/76a63HXr58mQQCAZ08ebKhw2SMqZGgoCDq\n3Lkz3bp1q9ayP/30E/3973+v+HdAQAA5OTlVet62BePk1lDi4uKoU6dOFePh33//PU2dOlWuY69e\nvUrGxsYUGhrakCEyxtTEzp07ycLCgu7cuSNXeRcXFzpy5AgREaWlpZGRkVGVKyW1YHLlK15bsp7+\n3//7f0hPT8fx48eRl5cHa2tr3L59G6amprUem5iYCA8PD2zduhWTJ09WQbSMscawbds2bN68GdHR\n0ejWrVut5VNSUjBy5EhkZGRAS0sLzs7OGD9+PHx9fVUQbZMh19qSPKGkntauXYvU1FQcOXIEHTp0\nwKRJk7B79265ju3Xrx/Onj0LX19fHDx4sIEjZYw1ho0bN+KHH35AXFycXIkNAHbs2AGhUIhWrVph\n06ZN0NbWrrR4O5MP99wUkJCQAHd3dyQkJODly5dwd3dHRkYGdHR05Dr+9u3bcHNzw5o1a+Dp6dnA\n0TLGVOXbb7/FwYMHER0dDXNzc7mOefnyZcUIUE5ODoYNG4Zr167BysqqYYNterjn1tAcHR3x6aef\nwtPTE/b29ujRowdCQ0PlPr5Xr16IiYnBqlWrsHPnzgaMlDGmCkSElStX4ujRo4iNjZU7sQHA3r17\n4eHhgY4dO2L69OnYsGEDJzYFcM9NQWKxGO+//z5mzpwJU1NTbN68GZcuXapTHenp6Rg2bBg+++wz\nHoJgrIkiIixduhSRkZE4f/48jI2N5T5WIpGgR48eOHz4ME6ePImUlBSEhYW1pHe01YVcvxTt2ouw\nmmhra+PAgQN4//33cfHiRWRmZiIm/jrulHVAanYBCkrE0NfThq2pPiY6mcOwrW6lOrp27Yq4uDgM\nGzYMpaWlWLJkSSN8EsZYfRERfH19cfHiRcTExMDQ0LDasrlFpQi58VimfaCXWTAwMYdUKkVQUBCS\nkpI4sSmIe25Ksn37duw/FYt3+o9DprgddHR0UCqWVuzX09YEAXDpKcB8Zxv0tTCoVEdWVhZcXV0x\ndepUrFixQoXRM8bqSyqVYuHChbhx4wbOnDkDA4PKf9sAkJSZhx2xaYi7mwMAMu2DhrQcmlrakD5O\nwafDe8J3xjiVxN5EyZX1ObkpyYH4dHxzIgmkpY2afvcaGoCethaWe9hi2kCrSvuzs7Ph6uqKcePG\nYc2aNfztjTE1JpFIIBQKkZqaioiICOjr61dZ7tCvGVgXkYoSsQQ1NrkkRetWOtW2DwwAD0uqzqFf\nM7A+MhWkVfssSSKguFyCdRG3AaDSBWxqaorY2Fi4ubmhtLQUGzZs4ATHmBoSi8Xw9PREZmYmoqKi\n0LZt2yrLvUlst1FcLq1yvwwNzRrbByY/ni2poKTMPKyLSJXvwv2T4nIp1kWkIvlxXqV9AoEAFy5c\nwIULF+Dr64s69q4ZYw2svLwc06ZNQ3Z2Nk6fPl1tYmuI9oHJh5ObgnbEpqFELKnXsSViCfxj06rc\n17FjR5w/fx5XrlzBggULIJXW7Y+DMdYwysrKMGXKFBQWFiI8PBxt2rSptmxDtQ+sdpzcFJBbVIq4\nuzk1j6HXgAiIuZOD50WlVe43MDDAmTNnkJKSAm9vb0gk9fsjYYwpR2lpKSZMmACJRILQ0FDo6elV\nW7ah2wdWM05uCgi58VjhOjQAhCRUX4++vj4iIyPx4MEDzJ49G2KxWOFzMsbqrri4GGPGjIGuri6O\nHz8OXd3Kj/X8mSraB1Y9Tm4KSM0ukJnOWx8lYilSnxbWWKZt27Y4deoUsrOzMW3aNJSXlyt0TsZY\n3bx69QoffvghDA0NcfToUbmW2FNV+8CqxslNAQUlyulFFZTUnqzatGmD8PBwFBUVYfLkySgrK1PK\nuRljNSssLMSoUaPQpUsXHDhwANra8k0yV2X7wCrj5KYAfT3lPEmhryffQst6enoIDQ0FEWH8+PEo\nKSlRyvkZY1XLz8/HyJEj0atXLwQFBUFLS0vuY1XdPjBZnNwUYGuqD11txX6F2pDCykD+i7dVq1Y4\nduwY2rRpgzFjxqC4uFih8zPGqvbixQsMHz4cTk5OCAgIgKam/H/rOTk5eHYnERArNsKip60J207t\nFKqjpeLkpoAJTvKv+F0diVSK1bNGYe7cubh+/bpcx+jo6ODw4cMwNjbG6NGj8erVK4XjYIz9T25u\nLlxdXeHs7Ixt27bJtZACESEuLg6ffPIJevToAc2HV6Et5+uvqq0TwARHxduZloiTmwKM2urCuYcA\n9V1AhKRSdH+nFLcSrsDGxgaTJk2Ck5MTdu3ahcLCmm8ia2trY9++fbCyssKoUaNqLc8Yk8+zZ8/g\n4uICDw8PbNy4sdbE9uLFC2zZsgV2dnaYP38+/v73v+POnTuws7ZAyYMbqO+qhRoawNCegioXW2e1\n4+SmoAUuNtDTln8c/s/0dLTw/NKPmDx5MsaNG4e0tDT8+9//RlRUFCwtLeHj44PExMRqj9fS0kJg\nYCDeffddjBgxAnl5vJoBY4p48uQJXFxcMGnSJHz77bfVJjYiwuXLlzF9+nRYW1vjxo0b2L17N27e\nvInBgwdjxIgRuHjxIgK/mITWOvW796anrYX5LjaKfJwWjZObgvpaGGC5hy1a69TtV9laRxMrPrTD\n1cjjGD9+PAYNGoTvv/8erq6uCA0Nxc2bN2Fubo6PP/4Y7733Hvbs2VPl8KOmpib8/f0xYMAADB8+\nHC9evFDWR2OsRcnMzISzszNmzpyJlStXVpnY8vLysH37dvTu3Ruenp7o168f7t+/j0OHDsHJyQlf\nffUV3N3d8fnnnyMyMhLu/XvVu31Y7mGLPuZVv2GA1Y7fCqAk8q76Xd1bAdLT0+Hl5YW8vDwEBQWh\nb9++AN6sOh4VFQWRSITLly/jn//8J4RCIezt7WXqJSJ8+eWXOHv2LM6dOweBQNAQH5OxZik9PR2u\nrq5YtGgRfH19ZfYREa5evQqRSITQ0FC4u7vDx8cHzs7OFQnw0qVLmDNnDvr06QM/Pz+YmJjI1KFo\n+8Bk8CtvVC35cR78Y9MQcycHGnjzAOZbb9/nNrSnAPNdbKr8RkZE2Lt3L5YuXQqhUIivv/5aZhWE\nzMxMBAYGIigoCJaWlhAKhZg4cSJat25dcfzKlStx4sQJnD9/Hqampg39kRlr8tLS0uDq6oolS5Zg\nwYIFFdsLCgpw+PBhiEQiFBYWQigUYtasWTJv2C4sLMRXX32F0NBQ+Pn5Ydy46t/Dpmj7wCpwcmss\nz4tKEZLwGKlPC1FQUg59PR3YdmqHCY5Vv4n7r548eYL58+fj3r17CAoKwsCBA2X2i8VinD59GgEB\nAbh27RqmT58OoVAIW1tbAMDatWtx+PBhXLhwAZ07d26Qz8hYc5Camgo3NzesXLkSXl5eAIAbN25A\nJBLh+PHjcHV1hVAohKura6VHAc6cOQOhUIihQ4di8+bN6NChg1znVLR9YPIlNxBRXX6YikilUgoO\nDiZTU1P67LPPqKioqMpy6enptGzZMjI1NaUhQ4bQ4cOHqaSkhP7zn/+QjY0NPXr0SMWRM9Y0pKSk\nUOfOnWnfvn1UIg+h8AAAE8tJREFUWFhIu3fvJicnJ7K0tKR169bRkydPqjzu+fPnNHPmTLK0tKQz\nZ86oOGpGcuYrnlCipjQ0NDBp0iSkpKQgNzcXvXv3RnR0dKVyVlZWWLduHR49eoRFixZh7969sLCw\nQG5uLiZOnAhnZ2ekp6c3widgTH0lJSXBzc0NCxcuxJUrV9ClSxecOnUKa9euxf3797Fs2TJ06tSp\n0nE//fQT7O3toa+vj5s3b2LEiBGNED2TBw9LNhGnT5/GvHnzMHLkSGzcuBEGBtWPyaelpWH37t3Y\nt28fDAwM8OLFC8TFxcHOzk6FETOmni5duoTRo0fDxMQExcXFmDt3LubMmQNz8+ofls7OzsaCBQtw\n69YtBAYGYvDgwSqMmP0FD0s2N/n5+eTj40NmZmYUFhZWa/mSkhI6evQo9ezZkzQ1NcnLy4vu37+v\ngkgZUz83b96kiRMnkoaGBjk5OVF4eDiVl5fXeIxUKqV9+/aRQCCgr776ioqLi1UULauBXPmKk1sT\nFBMTQ926daPJkyfTH3/8Idcx69evp3feeYc6dOhAI0eOpNDQUCorK2vgSBlrXMXFxXTw4EEaPHgw\nGRoaUps2bWjv3r1yHZuRkUEjR44kBwcHunHjRsMGyuqC77k1Vy4uLkhOToaFhQV69+6NI0eOvPmm\nUoOlS5ciMDAQrVq1wgcffIDNmzfDysoKK1aswKNHj1QUOWOqcefOHXz++eewsLDAwYMH4ebmBg0N\nDYSFhWHWrFk1HiuVSuHn5wcnJycMGTIEV69ehaOjo2oCZ8ojbxYk7rmppatXr5K9vT2NHj2aMjMz\nay0fEhJCxsbGdO3aNbp58yYtWrSIOnbsSKNHj6bw8HASi8UqiJox5Xs7DO/i4kImJia0dOlSun//\nPkVFRZFAIKDY2Nha60hNTaXBgwfToEGD6Pbt2yqImtUDD0u2FKWlpbR69WoyMjKigIAAkkgkNZYP\nDw8nY2Nj+uWXX4iI6NWrV7R371567733yMLCglavXk2PHz9WReiMKSwtLY2WLFlCxsbGNGzYMAoO\nDqbS0lIiIjp58iQJBAK6dOlSjXWUl5fT+vXrydDQkLZt28Zf8tQbJ7eWJiUlhQYMGEAuLi507969\nGstGRkaSQCCguLg4me2//fYbzZs3jzp06EBjxoyhiIgI/kNnaqesrIyOHz9Ow4cPJyMjI/riiy/o\nzp07MmVCQ0PJ2NiYrly5UmNdiYmJ5OjoSG5ubpSent6AUTMl4eTWEonFYtq0aRMZGhrS999/X2Ni\nOn/+PAkEAjp//nylfYWFhbRr1y5ycnIiKysrWrduHT19+rQhQ2esVlUtWlDVDMYff/yRTExMapwI\nUlxcTMuXLyeBQEB79uwhqVTakKEz5eHk1pLdu3ePXFxcqH///pSSklJtubi4OBIIBBQVFVVtmevX\nr5OXlxcZGBjQ+PHj6dy5c7UOfTKmLOXl5fTzzz+Tu7s7GRoa0uLFi+nWrVvVlj9w4AB16tSJkpOT\nqy1z+fJlsrW1pbFjx1a7EglTW5zcWjqJREIikYiMjIxo1apVFfch/uqXX34hgUBA4eHhNdaXn59P\n/v7+1LdvX+rWrRtt2LBB7kcRGKurR48e0cqVK8nMzIwGDRpE+/fvp9evX9d4TFBQEJmZmVWb/AoL\nC+nTTz8lU1NTOnbsGPfWmiZObuyNzMxM+vDDD8ne3p6uXr1aZZmrV6+SsbEx/fTTT7XWJ5VKKT4+\nnmbNmkXt27enKVOmUExMDDcUTGFisZhOnTpF//jHP6hjx460YMGCGntgf7Zz506ysLCodO/trbNn\nz5KVlRXNmDGDcnNzlRk2Uy1Obux/pFIpHTlyhExMTOiLL76gV69eVSqTkJBApqam9OOPP8pd78uX\nL2nbtm307rvvUs+ePWnTpk3ccLA6y8rKojVr1lCXLl2of//+FBgYWO1i4VX54YcfyNLSssoVeF6+\nfEmenp7UpUsXioiIUGbYrHFwcmOV/fHHHzRlyhTq1q0bxcTEVNqfnJxMnTp1ogMHDtSpXqlUShcv\nXqRp06ZR+/btadq0aXTx4kXuzbFqSSQSioqKorFjx1KHDh1IKBRSQkJCnev57rvvyNramjIyMirt\nO3HiBHXu3Jnmz59P+fn5ygibNT5Obqx6YWFhZGZmRkKhkPLy8mT2/f7772RmZkZBQUH1qjs3N5c2\nbdpEPXr0IDs7O9q2bRu9fPlSGWGzZiA7O5vWr19PXbt2pX79+lFAQAAVFBTUq661a9dSjx49Ki1g\nkJ2dTRMnTqTu3btXetyFNXmc3FjNXr58SV5eXmRubk6nTp2S2Xf37l2ysLAgf3//etcvlUopJiaG\npkyZQgYGBjRr1iyKj4/n3lwLJJFI6Pz58zRx4kQyMDAgT09PunLlSr2vBalUSitWrCA7OzuZ2Y5S\nqZQOHjxIxsbGtGTJklonoLAmiZMbk090dDRZW1vT1KlTKScnp2L7gwcPyMrKirZu3arwOZ49e0Yb\nNmygbt26UZ8+fcjf35+HiVqAnJwc2rhxI3Xv3p169+5Nfn5+lUYK6koqldKSJUuod+/e9OzZs4rt\njx49olGjRlGfPn3o2rVriobO1BcnNya/oqIi8vX1JRMTEzp69GjFN+qHDx9WTPtXBolEQufOnaPx\n48eTgYEBzZ07lxuiZkYqlVJsbCx98skn1L59e5oxYwZdvnxZKT12qVRKixcvJkdHx4qJSxKJhPz9\n/cnIyIjWrl1b7SMvrNng5MbqLj4+nuzs7Oijjz6irKwsIiJ6/Pgx9ezZk9asWaPUcz19+pTWrVtH\nVlZW5OTkRLt27aLCwkKlnoOpzvPnz2nLli1ka2tLtra2tHXrVnr+/LnS6pdIJDRv3jwaMGBAxT3c\nu3fv0pAhQ+i9996r8cFu1qzIla/4TdysktLSUqxbtw47d+7E+vXrMWfOHDx79gyurq4YN24c1qxZ\nAw0N2Zfh5haVIuTGY6RmF6CgRAx9PW3YmupjopM5DNvq1ng+iUSCc+fOISAgAP/9738xZcoUCIVC\n9O3btyE/JlMCIkJ8fDxEIhHCwsIwevRoCIVCfPDBB5WukarIe91IJBIIhUKkpqYiIiICbdq0wZYt\nW7BhwwZ8/fXXWLRoEbS0tBryozL1IdebuDm5sWolJyfD09MT7du3x+7du9GuXTu4ublhxIgR2LBh\nAzQ0NJCUmYcdsWmIu5sDACgVSyuO19PWBAFw6SnAfGcb9LUwqPWcWVlZCAoKwu7du2FmZgahUIjJ\nkyejTZs2DfUxWT3k5+fj4MGDEIlEKC0thbe3N2bNmgUjIyO5jq/LdfNup7bw9PREZmYmTp48iQcP\nHmDOnDlo3749du3aBWtr64b4iEx9cXJjihOLxTLfkKdOnYpRo0Zh8ODBcJr8Gf4dmYoSsQQ1XUYa\nGoCethaWe9hi2kAruc8bGRkJkUiE+Ph4TJ06FUKhEO+++65yPhirMyLCtWvXIBKJEBoaihEjRkAo\nFGLo0KFy9dLeOvRrBtZFyHfd6GprotPTX6Dz8AqCg4OxdetW+Pv7V4wo1OW8rNng5MaU5+7du/Dy\n8kJZWRm2bNkC740HUdR9BKQa2nLX0VpHE8s9esmd4N56+PAhAgMDERQUBGtrawiFQkyYMAGtW7eu\n46dg9VFYWIjDhw9DJBIhPz8f3t7emD17NkxMTOpc15vEdhvF5dLaC/8fDWk5Zti3Rch/FsPGxgb+\n/v4wMzOr87lZs8HJjSmXVCqFSCTCNz/sQbuxKyBB3e9xtNbRQrD3QPQxr32I8q/Ky8tx6tQpiEQi\nXL9+HTNmzIC3tzdsbW3rXBerXUJCAkQiEY4dO4ahQ4fCx8cHw4cPh6amZr3qS8rMw5Tdv6K4XFLn\nY0lcik/tJPh81gTurTG5LoD6XaWsRdLU1MS8efMw8vNNkFD9GpgSsQT+sWn1OlZHRwdjx45FVFQU\nrl69Cl1dXbi4uMDFxQU//vgjSktL61Uv+59Xr14hKCgIAwYMwNixY2FhYYFbt25VDEPWN7EBwI7Y\nNJSI657YAEBTWxf3dLpyYmNy454bq5PcolK8v+GCzASAutLV1sQvXw6rdRalPMrKyhAWFoaAgADc\nvHkTM2fOhLe3N2xsbBSuuyVJTk6GSCTC0aNHMXjwYAiFQri7uyttBqK6XTesSeOeG1O+kBuPFa5D\nA0BIguL1AECrVq0wceJEREdH49KlSyAiDBo0CMOHD0dISAjKy8uVcp7mqLi4GPv378egQYPg4eEB\nIyMjJCUlITw8HKNHj1bq1Hp1u25Y88fJjdVJanaBQt++AaBELEXq00IlRfQ/3bt3x8aNG/Ho0SN4\nenpi+/bt6NKlC5YtW4b09HSln6+p+v3337F48WJYWFggODgYX375JTIyMrB69WpYWFg0yDnV+bph\nzRMPS7I68dx/DRdS/1C4ntf3riDnp7VKiIg1BYLxK9Cm+3sK1+Nqa4ygmf2VEBFrwnhYkimfvp78\nU/9rYt+zG8LCwvDo0SNIpdK6LgNX55/Xr19XDMF17twZK1aswMOHDxv8vI39c+fOHXzxxRcwMjKC\nm5sbQkJCUFZW1uDnlUqluH//Po4fP45ly5bB1LDus2Oroq+no5R6WPOnnJaKtRi2pvrQ1c5WaIhJ\nW4OgLy3Czp0/IiEhAVKpFP369YOjoyMcHR3Rr18/dOvWTaGZeX/VunVrzJgxAzNmzEBKSgpEIhEc\nHBzw/vvvQygUYtSoUc1m+aaysjKcOHECIpEIt27dwqxZsxAfH99gk2wkEgnu3LmDhIQEJCYmIiEh\nAb/99hvatm1b8f/q4tAdUVkaKJPUf/BHT1sTtp3aKTFy1pzxsCSrE2XPeiMiPH36tKJRfNtAvnz5\nEn379q1Ido6OjujVqxe0tZX3fezVq1cIDg6GSCTC06dP4eXlhTlz5qBz585KO4cqPXjwALt27cLe\nvXthZ2cHHx8ffPzxx9DVVd7swtLSUty6dUsmkaWkpKBTp06VvqAIBIKK43i2JFMifoibNQzvg9dx\n7vazGpdOqo6GBjDSzgQB0/5WY7nnz5/jt99+k0l4mZmZePfdd2USXu/evaGnp1fPT/I/iYmJEIlE\nCA4OhouLC3x8fODm5qbU3mNDKC8vx8mTJxEQEIDExMSKB9t79uypcN2vXr1CUlKSTCK7c+cOunXr\nJpPI+vbti/bt29danyquG9YicHJjDUORlSYUWaGkqKioorF92+DevXsXNjY2MgnPwcEB7drVb/iq\nsLAQR48eRUBAAPLy8uDl5QVPT896LTX1liJvTKjOw4cPsXv3buzZswfdunWrWJKsvon+5cuXlXrP\nDx8+rPLLRH2XPWus64Y1O5zcWMOpzxqB9V1bsiYlJSVVDpOZmZnJNMr9+vWTe8V64M0iwdevX4dI\nJEJISAjc3Nzg4+ODoUOHyt2bU/YbE8RiMSIiIhAQEIArV65g2rRp8Pb2rvNi0lUNA+fm5sLBwaHS\nMLCOjnIncKjLdcOaNE5urGHVZXX3ur4VQBFisbjSBIfExES0b9++0n0hMzOzWpd0ys/Px6FDhyAS\niVBcXFzxepc/31P6K2X+bh4/flyxcLS5uTmEQiEmTZpU62uAiAgZGRmVfg9lZWUyvwNHR0fY2Nio\nbAhWXa8b1mRwcmMNL/lxHvxj0xBzJwcaePOg7VtveydDewow38WmUYeUpFIp0tPTZRr6hIQEAJDp\n3Tk6OsLa2rrKhp6I8OuvvyIgIABhYWHw8PCAUCjEkCFDZBKkMnonEokEZ86cgUgkwsWLF2t9gatE\nIsHdu3crJbI2bdpUSmQWFhaNvkZjU7lumFri5MZU53lRKUISHiP1aSEKSsqhr6cD207tMMGx/veV\nGhoR4cmTJ5USXn5+fqUhOltbW5mZmi9evKh4WScRwdvbGzNnzkTmK02F7ivtGGeD+NPB2L17NwQC\nAYRCIaZMmYK2bdtWlCsrK6s0FJucnAxTU1OZRN2vXz+F7hWqQlO8blij4+TGWH3k5uYiMTFRJuFl\nZWXB3t5eJuHZ29tDV1cXFy9ehEgkwunTp9Ft1ga8aG1evz8UkqIs/QY+bP8EQqEQTk5OePXqFZKT\nk2USWWpqKqytrWUSmYODAwwMuIfDWgRObowpS0FBAZKSkmSG/O7evYsePXpUJBmBuTW+vkaQKLDw\nj7YGYVaHNNz+7RoSExORkZEBOzs7mUTWp0+fWu+3MdaMcXJjrCGVlJQgJSWlIuFdytVDgdUQaOoo\nMJwmKUcv8X1M6t0R/fr1g52dHVq1aqW8oBlr+ji5MaZKnwUn4uffnihcz1gHM2yZ7KCEiBhrlnjh\nZMZUqaBErKR6+B10jCmKkxtjSqKsNybwyveMKY6TG2NK8uaNCYr9SfHK94wpByc3xpRkgpO5wnUQ\ngAmOitfDWEvHyY0xJTFqqwvnHgLUd/EPDY03q3Lww8uMKY6TG2NKtMDFBnra9XvpqZ62Fua7NMwL\nRRlraTi5MaZEfS0MsNzDFq116van9WZtSVteR5ExJVHea40ZYwBQsfgxr3zPWOPhh7gZayC88j1j\nDYJXKGFMHfDK94wpFSc3xhhjzQ4vv8UYY6xl4uTGGGOs2eHkxhhjrNnh5MYYY6zZ4eTGGGOs2eHk\nxhhjrNnh5MYYY6zZ4eTGGGOs2eHkxhhjrNnh5MYYY6zZ4eTGGGOs2anrK2/q+Y5hxhhjTHW458YY\nY6zZ4eTGGGOs2eHkxhhjrNnh5MYYY6zZ4eTGGGOs2eHkxhhjrNnh5MYYY6zZ4eTGGGOs2eHkxhhj\nrNnh5MYYY6zZ+f+fDYpBAamxMgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11e1ca940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "G_small_ring = nx.watts_strogatz_graph(16, 4, 0)\n",
    "pos = nx.circular_layout(G_small_ring)\n",
    "nx.draw_networkx(G_small_ring, pos=pos, with_labels=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "G_ring = nx.watts_strogatz_graph(4000, 10, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "200.45011252813202"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nx.average_shortest_path_length(G_ring)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.6666666666666546"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nx.average_clustering(G_ring)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### A Real Social Network"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Load data file into network\n",
    "from pathlib import Path\n",
    "data_dir = Path('.') / 'data'\n",
    "G_social = nx.read_edgelist(data_dir / 'mcauley2012' / 'facebook_combined.txt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3.6925068496963913"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nx.average_shortest_path_length(G_social)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.6055467186200876"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nx.average_clustering(G_social)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Random Network"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAbcAAAGtCAYAAACV2joWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nN9LAuvUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x122a00198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "G_small_random = nx.watts_strogatz_graph(16, 4, 1)\n",
    "pos = nx.circular_layout(G_small_random)\n",
    "nx.draw_networkx(G_small_random, pos=pos, with_labels=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "G_random = nx.watts_strogatz_graph(4000, 10, 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3.8667969492373095"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nx.average_shortest_path_length(G_random)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.0022751913527648826"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nx.average_clustering(G_random)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Watts-Strogatz Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "path = []\n",
    "clustering = []\n",
    "# Try a range of rewiring probabilities\n",
    "p = [10**(x) for x in range(-6, 1)]\n",
    "for p_i in p:\n",
    "    path_i = []\n",
    "    clustering_i =[]\n",
    "    # Create 10 models for each probability\n",
    "    for n in range(10):\n",
    "        G = nx.watts_strogatz_graph(1000, 10, p_i)\n",
    "        path_i.append(nx.average_shortest_path_length(G))\n",
    "        clustering_i.append(nx.average_clustering(G))\n",
    "    # Average the properties for each p_i\n",
    "    path.append(sum(path_i) / len(path_i))\n",
    "    clustering.append(sum(clustering_i) / len(clustering_i))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1234919e8>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAdQAAAHWCAYAAADO73hnAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nJXRSUgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x122ae9ef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the results\n",
    "fig, ax = plt.subplots()\n",
    "for spine in ax.spines.values():\n",
    "    spine.set_visible(True)\n",
    "plt.semilogx(p, [x / path[0] for x in path], label='Mean Path / Initial')\n",
    "plt.semilogx(p, [x / clustering[0] for x in clustering], label='Clustering / Initial')\n",
    "plt.tick_params(axis='both', which='major', labelsize=16)\n",
    "plt.xlabel('Rewiring Probability p', fontsize=16)\n",
    "plt.legend(fontsize=16)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Contagion\n",
    "### Simple Contagion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "def propagate_simple(G):\n",
    "    to_infect = set([])\n",
    "    # Find infected nodes\n",
    "    for v in G.nodes():\n",
    "        if G.nodes[v]['infected'] == False:\n",
    "            # Mark all neighbors for infection\n",
    "            for w in nx.neighbors(G, v):\n",
    "                if G.nodes[w]['infected']:\n",
    "                    to_infect.add(v)\n",
    "                    break\n",
    "    # Infect marked nodes\n",
    "    for v in to_infect:\n",
    "        G.nodes[v]['infected'] = True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhQAAACsCAYAAAAjfDXUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nXDK6QaGjo6Ojo6Nzyfx/KuBJec7tU00AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x123394780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Infect two nodes\n",
    "nx.set_node_attributes(\n",
    "    G_small_ring,\n",
    "    dict((i, False) for i in range(16)),\n",
    "    'infected')\n",
    "for i in range(2):\n",
    "    G_small_ring.nodes[i]['infected'] = True\n",
    "\n",
    "# Visualize first three time steps\n",
    "plt.figure(figsize=(7.5, 2.5))\n",
    "for i in range(3):\n",
    "    # Visualize\n",
    "    plt.subplot(1, 3, i + 1)\n",
    "    node_color = [\n",
    "        '#bfbf7f' if G_small_ring.nodes[v]['infected'] else '#9f9fff'\n",
    "        for v in G_small_ring.nodes]\n",
    "    nx.draw_networkx(\n",
    "        G_small_ring,\n",
    "        pos=nx.circular_layout(G_small_ring),\n",
    "        node_color=node_color)\n",
    "    # Propagate the contagion\n",
    "    propagate_simple(G_small_ring)\n",
    "    plt.title(\"Step {}\".format(i))\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhQAAACsCAYAAAAjfDXUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1233d1a90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Infect two nodes\n",
    "nx.set_node_attributes(\n",
    "    G_small_random,\n",
    "    dict((i, False) for i in range(16)),\n",
    "    'infected')\n",
    "for i in range(2):\n",
    "    G_small_random.nodes[i]['infected'] = True\n",
    "\n",
    "# Visualize first three time steps\n",
    "plt.figure(figsize=(7.5, 2.5))\n",
    "for i in range(3):\n",
    "    # Visualize\n",
    "    plt.subplot(1, 3, i + 1)\n",
    "    node_color = [\n",
    "        '#bfbf7f' if G_small_random.nodes[v]['infected'] else '#9f9fff'\n",
    "        for v in G_small_random.nodes]\n",
    "    nx.draw_networkx(\n",
    "        G_small_random,\n",
    "        pos=nx.circular_layout(G_small_random),\n",
    "        node_color=node_color)\n",
    "    # Propagate the contagion\n",
    "    propagate_simple(G_small_random)\n",
    "    plt.title(\"Step {}\".format(i))\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Complex Contagion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "def propagate_complex(G):\n",
    "    to_infect = set([])\n",
    "    # Find uninfected nodes\n",
    "    for v in G.nodes():\n",
    "        if G.nodes[v]['infected'] == False:\n",
    "            infected_neighbors = 0\n",
    "            # Count infected neighbors\n",
    "            for w in nx.neighbors(G, v):\n",
    "                if G.nodes[w]['infected']:\n",
    "                    infected_neighbors += 1\n",
    "            # Remember nodes with 2+ infected neighbors\n",
    "            if infected_neighbors >= 2:\n",
    "                to_infect.add(v)\n",
    "    # Infect new nodes\n",
    "    for v in to_infect:\n",
    "        G.nodes[v]['infected'] = True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhQAAACsCAYAAAAjfDXUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nH5whKpzkH6x0AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1233d1b70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Infect two nodes\n",
    "nx.set_node_attributes(\n",
    "    G_small_ring,\n",
    "    dict((i, False) for i in range(16)),\n",
    "    'infected')\n",
    "for i in range(2):\n",
    "    G_small_ring.nodes[i]['infected'] = True\n",
    "\n",
    "# Visualize first three time steps\n",
    "plt.figure(figsize=(7.5, 2.5))\n",
    "for i in range(3):\n",
    "    # Visualize\n",
    "    plt.subplot(1, 3, i + 1)\n",
    "    node_color = [\n",
    "        '#bfbf7f' if G_small_ring.nodes[v]['infected'] else '#9f9fff'\n",
    "        for v in G_small_ring.nodes]\n",
    "    nx.draw_networkx(\n",
    "        G_small_ring,\n",
    "        pos=nx.circular_layout(G_small_ring),\n",
    "        node_color=node_color)\n",
    "    # Propagate the contagion\n",
    "    propagate_complex(G_small_ring)\n",
    "    plt.title(\"Step {}\".format(i))\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhQAAACsCAYAAAAjfDXUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1238c1860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Infect two nodes\n",
    "nx.set_node_attributes(\n",
    "    G_small_random,\n",
    "    dict((i, False) for i in range(16)),\n",
    "    'infected')\n",
    "for i in range(2):\n",
    "    G_small_random.nodes[i]['infected'] = True\n",
    "\n",
    "# Visualize first three time steps\n",
    "plt.figure(figsize=(7.5, 2.5))\n",
    "for i in range(3):\n",
    "    # Visualize\n",
    "    plt.subplot(1, 3, i + 1)\n",
    "    node_color = [\n",
    "        '#bfbf7f' if G_small_random.nodes[v]['infected'] else '#9f9fff'\n",
    "        for v in G_small_random.nodes]\n",
    "    nx.draw_networkx(\n",
    "        G_small_random,\n",
    "        pos=nx.circular_layout(G_small_random),\n",
    "        node_color=node_color)\n",
    "    # Propagate the contagion\n",
    "    propagate_complex(G_small_random)\n",
    "    plt.title(\"Step {}\".format(i))\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
